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3000000256 = 28113728793
BaseRepresentation
bin1011001011010000…
…0101111100000000
321202002000210200121
42302310011330000
522121000002011
61213404230024
7134225403301
oct26264057400
97662023617
103000000256
1112aa470660
126b883b314
1338a6b46a6
142066067a8
15128593e71
hexb2d05f00

3000000256 has 72 divisors (see below), whose sum is σ = 6709462704. Its totient is φ = 1326735360.

The previous prime is 3000000253. The next prime is 3000000257. The reversal of 3000000256 is 6520000003.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000000253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89796 + ... + 118588.

It is an arithmetic number, because the mean of its divisors is an integer number (93186982).

Almost surely, 23000000256 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 3000000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354731352).

3000000256 is an abundant number, since it is smaller than the sum of its proper divisors (3709462448).

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

3000000256 is a wasteful number, since it uses less digits than its factorization.

3000000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28857 (or 28843 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 3000000256 is about 54772.2580874661. The cubic root of 3000000256 is about 1442.2496113314.

Adding to 3000000256 its reverse (6520000003), we get a palindrome (9520000259).

The spelling of 3000000256 in words is "three billion, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 13024 26048 28793 52096 57586 104192 115172 230344 316723 460688 633446 921376 1065341 1266892 1842752 2130682 2533784 3685504 4261364 5067568 7371008 8522728 10135136 11718751 17045456 20270272 23437502 34090912 40540544 46875004 68181824 81081088 93750008 136363648 187500016 272727296 375000032 750000064 1500000128 3000000256