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3376161000 = 23345341681
BaseRepresentation
bin1100100100111100…
…0010000011101000
322201021211202020000
43021033002003220
523403244123000
61315002503000
7146443615662
oct31117020350
98637752200
103376161000
111482833803
127a2804a60
1341a5ca204
14240563532
1514b5e9000
hexc93c20e8

3376161000 has 160 divisors (see below), whose sum is σ = 11801841480. Its totient is φ = 900288000.

The previous prime is 3376160911. The next prime is 3376161023. The reversal of 3376161000 is 1616733.

3376161000 is a `hidden beast` number, since 3 + 37 + 616 + 10 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1612664964 + 1763496036 = 40158^2 + 41994^2 .

It is a super-2 number, since 2×33761610002 = 22796926195842000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60160 + ... + 101840.

Almost surely, 23376161000 is an apocalyptic number.

3376161000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3376161000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900920740).

3376161000 is an abundant number, since it is smaller than the sum of its proper divisors (8425680480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3376161000 is a wasteful number, since it uses less digits than its factorization.

3376161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41714 (or 41691 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3376161000 is about 58104.7416309547. The cubic root of 3376161000 is about 1500.1719802811.

Adding to 3376161000 its reverse (1616733), we get a palindrome (3377777733).

The spelling of 3376161000 in words is "three billion, three hundred seventy-six million, one hundred sixty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 125 135 150 162 180 200 216 225 250 270 300 324 360 375 405 450 500 540 600 648 675 750 810 900 1000 1080 1125 1350 1500 1620 1800 2025 2250 2700 3000 3240 3375 4050 4500 5400 6750 8100 9000 10125 13500 16200 20250 27000 40500 41681 81000 83362 125043 166724 208405 250086 333448 375129 416810 500172 625215 750258 833620 1000344 1042025 1125387 1250430 1500516 1667240 1875645 2084050 2250774 2500860 3001032 3126075 3376161 3751290 4168100 4501548 5001720 5210125 5626935 6252150 6752322 7502580 8336200 9003096 9378225 10420250 11253870 12504300 13504644 15005160 15630375 16880805 18756450 20840500 22507740 25008600 27009288 28134675 31260750 33761610 37512900 41681000 45015480 46891125 56269350 62521500 67523220 75025800 84404025 93782250 112538700 125043000 135046440 140673375 168808050 187564500 225077400 281346750 337616100 375129000 422020125 562693500 675232200 844040250 1125387000 1688080500 3376161000