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346416056 = 23719536143
BaseRepresentation
bin10100101001011…
…110001110111000
3220010211202111022
4110221132032320
51202140303211
654212522012
711404326230
oct2451361670
9803752438
10346416056
111685a7568
1298020308
13569ccb1c
1434016cc0
152062bbdb
hex14a5e3b8

346416056 has 64 divisors (see below), whose sum is σ = 796262400. Its totient is φ = 137973888.

The previous prime is 346416053. The next prime is 346416079. The reversal of 346416056 is 650614643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346416053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53321 + ... + 59463.

It is an arithmetic number, because the mean of its divisors is an integer number (12441600).

Almost surely, 2346416056 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 346416056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398131200).

346416056 is an abundant number, since it is smaller than the sum of its proper divisors (449846344).

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

346416056 is a wasteful number, since it uses less digits than its factorization.

346416056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6228 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 346416056 is about 18612.2555323099. The cubic root of 346416056 is about 702.3161753545.

The spelling of 346416056 in words is "three hundred forty-six million, four hundred sixteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 53 56 76 106 133 152 212 266 371 424 532 742 1007 1064 1484 2014 2968 4028 6143 7049 8056 12286 14098 24572 28196 43001 49144 56392 86002 116717 172004 233434 325579 344008 466868 651158 817019 933736 1302316 1634038 2279053 2604632 3268076 4558106 6186001 6536152 9116212 12372002 18232424 24744004 43302007 49488008 86604014 173208028 346416056