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345400833088 = 2617218674353
BaseRepresentation
bin1010000011010110111…
…11100111010001000000
31020000112120121022102201
411001223133213101000
521124340103124323
6422401442322544
733645232432243
oct5015337472100
91200476538381
10345400833088
11123535847163
1256b36059454
1326756ab359c
1412a08b1125a
158eb83c78ad
hex506b7e7440

345400833088 has 42 divisors (see below), whose sum is σ = 728094388106. Its totient is φ = 162541559808.

The previous prime is 345400833031. The next prime is 345400833101. The reversal of 345400833088 is 880338004543.

It can be written as a sum of positive squares in 3 ways, for example, as 210688344064 + 134712489024 = 459008^2 + 367032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9318681 + ... + 9355672.

Almost surely, 2345400833088 is an apocalyptic number.

It is an amenable number.

345400833088 is an abundant number, since it is smaller than the sum of its proper divisors (382693555018).

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

345400833088 is a wasteful number, since it uses less digits than its factorization.

345400833088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18674399 (or 18674372 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 345400833088 in words is "three hundred forty-five billion, four hundred million, eight hundred thirty-three thousand, eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 18674353 37348706 74697412 149394824 298789648 317464001 597579296 634928002 1195158592 1269856004 2539712008 5079424016 5396888017 10158848032 10793776034 20317696064 21587552068 43175104136 86350208272 172700416544 345400833088