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3401604256 = 251757710837
BaseRepresentation
bin1100101011000000…
…0101110010100000
322210001201101210211
43022300011302200
523431302314011
61321312103504
7150203105401
oct31260056240
98701641724
103401604256
111496131696
127ab234b94
134229680ab
14243aa79a8
1514d972b21
hexcac05ca0

3401604256 has 48 divisors (see below), whose sum is σ = 7103788776. Its totient is φ = 1597833216.

The previous prime is 3401604229. The next prime is 3401604259. The reversal of 3401604256 is 6524061043.

It can be written as a sum of positive squares in 4 ways, for example, as 3394227600 + 7376656 = 58260^2 + 2716^2 .

It is not an unprimeable number, because it can be changed into a prime (3401604259) 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, 308470 + ... + 319306.

Almost surely, 23401604256 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 3401604256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551894388).

3401604256 is an abundant number, since it is smaller than the sum of its proper divisors (3702184520).

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

3401604256 is a wasteful number, since it uses less digits than its factorization.

3401604256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11441 (or 11433 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 3401604256 is about 58323.2737078433. The cubic root of 3401604256 is about 1503.9310601039.

Adding to 3401604256 its reverse (6524061043), we get a palindrome (9925665299).

The spelling of 3401604256 in words is "three billion, four hundred one million, six hundred four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 577 1154 2308 4616 9232 9809 10837 18464 19618 21674 39236 43348 78472 86696 156944 173392 184229 313888 346784 368458 736916 1473832 2947664 5895328 6252949 12505898 25011796 50023592 100047184 106300133 200094368 212600266 425200532 850401064 1700802128 3401604256