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321434011368 = 2334496040141
BaseRepresentation
bin1001010110101101111…
…01011100011011101000
31010201200021210121210000
410223112331130123220
520231244101330433
6403355330223000
732136302005401
oct4532675343350
91121607717700
10321434011368
11114357135288
1252367724a60
1324407632a82
14117b3a709a8
15856428c113
hex4ad6f5c6e8

321434011368 has 40 divisors (see below), whose sum is σ = 900312857730. Its totient is φ = 107144670240.

The previous prime is 321434011363. The next prime is 321434011427. The reversal of 321434011368 is 863110434123.

321434011368 is a `hidden beast` number, since 3 + 214 + 3 + 401 + 1 + 36 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 176213569284 + 145220442084 = 419778^2 + 381078^2 .

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

It is not an unprimeable number, because it can be changed into a prime (321434011363) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 248019423 + ... + 248020718.

Almost surely, 2321434011368 is an apocalyptic number.

It is an amenable number.

321434011368 is an abundant number, since it is smaller than the sum of its proper divisors (578878846362).

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

321434011368 is a wasteful number, since it uses less digits than its factorization.

321434011368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496040159 (or 496040146 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 321434011368 in words is "three hundred twenty-one billion, four hundred thirty-four million, eleven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 496040141 992080282 1488120423 1984160564 2976240846 3968321128 4464361269 5952481692 8928722538 11904963384 13393083807 17857445076 26786167614 35714890152 40179251421 53572335228 80358502842 107144670456 160717005684 321434011368