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345404826844 = 227113176415519
BaseRepresentation
bin1010000011010111011…
…10110110010011011100
31020000112212010012211121
411001223232312103130
521124342113424334
6422402104100324
733645311404660
oct5015356662334
91200485105747
10345404826844
11123538024790
1256b374646a4
132675788135c
1412a094708a0
158eb8915db4
hex506bbb64dc

345404826844 has 96 divisors (see below), whose sum is σ = 757304432640. Its totient is φ = 133915238400.

The previous prime is 345404826839. The next prime is 345404826919. The reversal of 345404826844 is 448628404543.

It is a junction number, because it is equal to n+sod(n) for n = 345404826791 and 345404826800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62581917 + ... + 62587435.

It is an arithmetic number, because the mean of its divisors is an integer number (7888587840).

Almost surely, 2345404826844 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 345404826844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378652216320).

345404826844 is an abundant number, since it is smaller than the sum of its proper divisors (411899605796).

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

345404826844 is a wasteful number, since it uses less digits than its factorization.

345404826844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6499 (or 6497 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 52.

The spelling of 345404826844 in words is "three hundred forty-five billion, four hundred four million, eight hundred twenty-six thousand, eight hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 317 634 641 1268 1282 2219 2564 3487 4438 4487 5519 6974 7051 8876 8974 11038 13948 14102 17948 22076 24409 28204 38633 48818 49357 60709 77266 97636 98714 121418 154532 197428 203197 242836 406394 424963 812788 849926 1422379 1699852 1749523 2235167 2844758 3499046 3537679 4470334 5689516 6998092 7075358 8940668 12246661 14150716 15646169 19244753 24493322 24763753 31292338 38489506 38914469 48986644 49527506 62584676 76979012 77828938 99055012 134713271 155657876 269426542 272401283 538853084 544802566 1089605132 1121444243 2242888486 4485776972 7850109701 12335886673 15700219402 24671773346 31400438804 49343546692 86351206711 172702413422 345404826844