Search a number
-
+
3375952608 = 253721275651
BaseRepresentation
bin1100100100111000…
…1111001011100000
322201021110011100210
43021032033023200
523403220440413
61314554214120
7146442060300
oct31116171340
98637404323
103375952608
111482701186
127a2724340
1341a5563c2
1424050b600
1514b5a73c3
hexc938f2e0

3375952608 has 144 divisors (see below), whose sum is σ = 10391721984. Its totient is φ = 956793600.

The previous prime is 3375952603. The next prime is 3375952609. The reversal of 3375952608 is 8062595733.

It is a happy number.

It is a super-2 number, since 2×33759526082 = 22794112022924003328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3375952603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 594583 + ... + 600233.

It is an arithmetic number, because the mean of its divisors is an integer number (72164736).

Almost surely, 23375952608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375952608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5195860992).

3375952608 is an abundant number, since it is smaller than the sum of its proper divisors (7015769376).

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

3375952608 is a wasteful number, since it uses less digits than its factorization.

3375952608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 3375952608 is about 58102.9483589258. The cubic root of 3375952608 is about 1500.1411138353.

The spelling of 3375952608 in words is "three billion, three hundred seventy-five million, nine hundred fifty-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 127 147 168 196 224 254 294 336 381 392 508 588 672 762 784 889 1016 1176 1524 1568 1778 2032 2352 2667 3048 3556 4064 4704 5334 5651 6096 6223 7112 10668 11302 12192 12446 14224 16953 18669 21336 22604 24892 28448 33906 37338 39557 42672 45208 49784 67812 74676 79114 85344 90416 99568 118671 135624 149352 158228 180832 199136 237342 271248 276899 298704 316456 474684 542496 553798 597408 632912 717677 830697 949368 1107596 1265824 1435354 1661394 1898736 2153031 2215192 2870708 3322788 3797472 4306062 4430384 5023739 5741416 6645576 8612124 8860768 10047478 11482832 13291152 15071217 17224248 20094956 22965664 26582304 30142434 34448496 35166173 40189912 60284868 68896992 70332346 80379824 105498519 120569736 140664692 160759648 210997038 241139472 281329384 421994076 482278944 562658768 843988152 1125317536 1687976304 3375952608