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349207221984 = 25320111808839
BaseRepresentation
bin1010001010011100101…
…11110101011011100000
31020101100211222220101020
411011032113311123200
521210134022100414
6424231254405440
734141452261045
oct5051627653340
91211324886336
10349207221984
11125109411505
1257818960880
1326c125769ca
1412c8a4671cc
15913c6567a9
hex514e5f56e0

349207221984 has 48 divisors (see below), whose sum is σ = 917125292160. Its totient is φ = 116344460160.

The previous prime is 349207221901. The next prime is 349207221989. The reversal of 349207221984 is 489122702943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349207221989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 711364 + ... + 1097475.

It is an arithmetic number, because the mean of its divisors is an integer number (19106776920).

Almost surely, 2349207221984 is an apocalyptic number.

It is an amenable number.

349207221984 is an abundant number, since it is smaller than the sum of its proper divisors (567918070176).

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

349207221984 is a wasteful number, since it uses less digits than its factorization.

349207221984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810863 (or 1810855 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 349207221984 in words is "three hundred forty-nine billion, two hundred seven million, two hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 2011 4022 6033 8044 12066 16088 24132 32176 48264 64352 96528 193056 1808839 3617678 5426517 7235356 10853034 14470712 21706068 28941424 43412136 57882848 86824272 173648544 3637575229 7275150458 10912725687 14550300916 21825451374 29100601832 43650902748 58201203664 87301805496 116402407328 174603610992 349207221984