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317034311364 = 2236104272
BaseRepresentation
bin1001001110100001011…
…01111010111011000100
31010022022122222201000000
410213100231322323010
520143241240430424
6401351001321300
731622256116601
oct4472055727304
91108278881000
10317034311364
111124a9670581
125153a196230
1323b85c764a4
14114b75d36a8
1583a7db23c9
hex49d0b7aec4

317034311364 has 63 divisors (see below), whose sum is σ = 831914323807. Its totient is φ = 105667968744.

The previous prime is 317034311351. The next prime is 317034311389. The reversal of 317034311364 is 463113430713.

The square root of 317034311364 is 563058.

It is a perfect power (a square), and thus also a powerful number.

317034311364 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 30399919 + ... + 30410345.

Almost surely, 2317034311364 is an apocalyptic number.

317034311364 is the 563058-th square number.

It is an amenable number.

317034311364 is an abundant number, since it is smaller than the sum of its proper divisors (514880012443).

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

317034311364 is an frugal number, since it uses more digits than its factorization.

317034311364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20876 (or 10432 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

Multiplying 317034311364 by its sum of digits (36), we get a square (11413235209104 = 33783482).

317034311364 divided by its sum of digits (36) gives a square (8806508649 = 938432).

The spelling of 317034311364 in words is "three hundred seventeen billion, thirty-four million, three hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 10427 20854 31281 41708 62562 93843 125124 187686 281529 375372 563058 844587 1126116 1689174 2533761 3378348 5067522 7601283 10135044 15202566 30405132 108722329 217444658 326166987 434889316 652333974 978500961 1304667948 1957001922 2935502883 3914003844 5871005766 8806508649 11742011532 17613017298 26419525947 35226034596 52839051894 79258577841 105678103788 158517155682 317034311364