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341324312992 = 25132387334369
BaseRepresentation
bin1001111011110001000…
…00111011000110100000
31012122000110220122010221
410331320200323012200
521043013011003432
6420445140332424
733442222535065
oct4757040730640
91178013818127
10341324312992
11121833749293
12561989a4114
132625737c710
141273d55cc6c
158d2a589b97
hex4f7883b1a0

341324312992 has 48 divisors (see below), whose sum is σ = 723724553160. Its totient is φ = 157523116032.

The previous prime is 341324312939. The next prime is 341324312993. The reversal of 341324312992 is 299213423143.

It can be written as a sum of positive squares in 4 ways, for example, as 270395840016 + 70928472976 = 519996^2 + 266324^2 .

It is a super-3 number, since 3×3413243129923 (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (341324312993) 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, 9913984 + ... + 9948352.

Almost surely, 2341324312992 is an apocalyptic number.

341324312992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

341324312992 is an abundant number, since it is smaller than the sum of its proper divisors (382400240168).

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

341324312992 is a wasteful number, since it uses less digits than its factorization.

341324312992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58265 (or 58257 counting only the distinct ones).

The product of its digits is 279936, while the sum is 43.

The spelling of 341324312992 in words is "three hundred forty-one billion, three hundred twenty-four million, three hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 23873 34369 47746 68738 95492 137476 190984 274952 310349 381968 446797 549904 620698 763936 893594 1099808 1241396 1787188 2482792 3574376 4965584 7148752 9931168 14297504 820491137 1640982274 3281964548 6563929096 10666384781 13127858192 21332769562 26255716384 42665539124 85331078248 170662156496 341324312992