Search a number
-
+
3376720440 = 2333517917467
BaseRepresentation
bin1100100101000100…
…1010101000111000
322201022220011122000
43021101022220320
523403420023230
61315022501000
7146451436002
oct31121125070
98638804560
103376720440
111483086055
127a2a34760
1341a764a42
1424066b372
1514b6a9b60
hexc944aa38

3376720440 has 128 divisors (see below), whose sum is σ = 11319264000. Its totient is φ = 895377024.

The previous prime is 3376720439. The next prime is 3376720481. The reversal of 3376720440 is 440276733.

It is a happy number.

It is a super-2 number, since 2×33767204402 = 22804481859827587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3376720395 and 3376720404.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 184587 + ... + 202053.

It is an arithmetic number, because the mean of its divisors is an integer number (88431750).

Almost surely, 23376720440 is an apocalyptic number.

3376720440 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 3376720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5659632000).

3376720440 is an abundant number, since it is smaller than the sum of its proper divisors (7942543560).

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

3376720440 is a wasteful number, since it uses less digits than its factorization.

3376720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3376720440 is about 58109.5554964930. Note that the first 3 decimals coincide. The cubic root of 3376720440 is about 1500.2548367031.

The spelling of 3376720440 in words is "three billion, three hundred seventy-six million, seven hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 179 180 216 270 358 360 537 540 716 895 1074 1080 1432 1611 1790 2148 2685 3222 3580 4296 4833 5370 6444 7160 8055 9666 10740 12888 16110 17467 19332 21480 24165 32220 34934 38664 48330 52401 64440 69868 87335 96660 104802 139736 157203 174670 193320 209604 262005 314406 349340 419208 471609 524010 628812 698680 786015 943218 1048020 1257624 1572030 1886436 2096040 2358045 3126593 3144060 3772872 4716090 6253186 6288120 9379779 9432180 12506372 15632965 18759558 18864360 25012744 28139337 31265930 37519116 46898895 56278674 62531860 75038232 84418011 93797790 112557348 125063720 140696685 168836022 187595580 225114696 281393370 337672044 375191160 422090055 562786740 675344088 844180110 1125573480 1688360220 3376720440