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314345510324 = 221729159404417
BaseRepresentation
bin1001001001100000111…
…00111101010110110100
31010001101021112110101022
410210300130331112310
520122234422312244
6400224111120312
731465526515526
oct4446034752664
91101337473338
10314345510324
1111134993355a
1250b09813098
1323847bb1261
1411300477a16
15829bce06ee
hex493073d5b4

314345510324 has 24 divisors (see below), whose sum is σ = 602548700040. Its totient is φ = 142826356736.

The previous prime is 314345510299. The next prime is 314345510363. The reversal of 314345510324 is 423015543413.

It can be written as a sum of positive squares in 4 ways, for example, as 154810771600 + 159534738724 = 393460^2 + 399418^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79700237 + ... + 79704180.

It is an arithmetic number, because the mean of its divisors is an integer number (25106195835).

Almost surely, 2314345510324 is an apocalyptic number.

314345510324 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

314345510324 is a deficient number, since it is larger than the sum of its proper divisors (288203189716).

314345510324 is a wasteful number, since it uses less digits than its factorization.

314345510324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159404467 (or 159404465 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 314345510324 in words is "three hundred fourteen billion, three hundred forty-five million, five hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 4 17 29 34 58 68 116 493 986 1972 159404417 318808834 637617668 2709875089 4622728093 5419750178 9245456186 10839500356 18490912372 78586377581 157172755162 314345510324