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3001612704 = 2531913911839
BaseRepresentation
bin1011001011101000…
…1111100110100000
321202012001201112220
42302322033212200
522121403101304
61213502551040
7134245200306
oct26272174640
97665051486
103001612704
111300372062
126b9298480
1338ab2a5bc
14206906276
151287b1ad9
hexb2e8f9a0

3001612704 has 96 divisors (see below), whose sum is σ = 8354304000. Its totient is φ = 940978944.

The previous prime is 3001612703. The next prime is 3001612709. The reversal of 3001612704 is 4072161003.

3001612704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3001612703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247617 + ... + 259455.

It is an arithmetic number, because the mean of its divisors is an integer number (87024000).

Almost surely, 23001612704 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 3001612704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4177152000).

3001612704 is an abundant number, since it is smaller than the sum of its proper divisors (5352691296).

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

3001612704 is a wasteful number, since it uses less digits than its factorization.

3001612704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12010 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 3001612704 is about 54786.9756785315. The cubic root of 3001612704 is about 1442.5079597513.

Adding to 3001612704 its reverse (4072161003), we get a palindrome (7073773707).

The spelling of 3001612704 in words is "three billion, one million, six hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 139 152 228 278 304 417 456 556 608 834 912 1112 1668 1824 2224 2641 3336 4448 5282 6672 7923 10564 11839 13344 15846 21128 23678 31692 35517 42256 47356 63384 71034 84512 94712 126768 142068 189424 224941 253536 284136 378848 449882 568272 674823 899764 1136544 1349646 1645621 1799528 2699292 3291242 3599056 4936863 5398584 6582484 7198112 9873726 10797168 13164968 19747452 21594336 26329936 31266799 39494904 52659872 62533598 78989808 93800397 125067196 157979616 187600794 250134392 375201588 500268784 750403176 1000537568 1500806352 3001612704