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3046742656 = 27231676197
BaseRepresentation
bin1011010110011001…
…1001101010000000
321212022222120012121
42311212121222000
522214431231111
61222154134024
7135333612436
oct26546315200
97768876177
103046742656
111323896941
12710421314
1339729c109
1420c8d2d56
1512c728871
hexb5999a80

3046742656 has 64 divisors (see below), whose sum is σ = 6372535680. Its totient is φ = 1448178688.

The previous prime is 3046742653. The next prime is 3046742687. The reversal of 3046742656 is 6562476403.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (3046742653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 488550 + ... + 494746.

It is an arithmetic number, because the mean of its divisors is an integer number (99570870).

Almost surely, 23046742656 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 3046742656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186267840).

3046742656 is an abundant number, since it is smaller than the sum of its proper divisors (3325793024).

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

3046742656 is a wasteful number, since it uses less digits than its factorization.

3046742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6401 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The square root of 3046742656 is about 55197.3066009565. The cubic root of 3046742656 is about 1449.7015090694.

The spelling of 3046742656 in words is "three billion, forty-six million, seven hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 167 184 334 368 668 736 1336 1472 2672 2944 3841 5344 6197 7682 10688 12394 15364 21376 24788 30728 49576 61456 99152 122912 142531 198304 245824 285062 396608 491648 570124 793216 1034899 1140248 2069798 2280496 4139596 4560992 8279192 9121984 16558384 18243968 23802677 33116768 47605354 66233536 95210708 132467072 190421416 380842832 761685664 1523371328 3046742656