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4304134256 = 2417233971733
BaseRepresentation
bin1000000001000101…
…11110000001110000
3102002221222200012212
410000202332001300
532303324244011
61551032311252
7211442352242
oct40042760160
912087880185
104304134256
111909631854
12a01542528
13537939206
142cb8c2092
151a2cee08b
hex1008be070

4304134256 has 80 divisors (see below), whose sum is σ = 9242247744. Its totient is φ = 1931415552.

The previous prime is 4304134249. The next prime is 4304134313. The reversal of 4304134256 is 6524314034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2482766 + ... + 2484498.

Almost surely, 24304134256 is an apocalyptic number.

4304134256 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4304134256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4621123872).

4304134256 is an abundant number, since it is smaller than the sum of its proper divisors (4938113488).

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

4304134256 is a wasteful number, since it uses less digits than its factorization.

4304134256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 4304134256 is about 65605.9010760465. The cubic root of 4304134256 is about 1626.6543160250.

The spelling of 4304134256 in words is "four billion, three hundred four million, one hundred thirty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 23 34 46 68 92 136 184 272 368 391 397 782 794 1564 1588 1733 3128 3176 3466 6256 6352 6749 6932 9131 13498 13864 18262 26996 27728 29461 36524 39859 53992 58922 73048 79718 107984 117844 146096 155227 159436 235688 310454 318872 471376 620908 637744 677603 688001 1241816 1355206 1376002 2483632 2710412 2752004 5420824 5504008 10841648 11008016 11696017 15824023 23392034 31648046 46784068 63296092 93568136 126592184 187136272 253184368 269008391 538016782 1076033564 2152067128 4304134256