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346690368 = 263466877
BaseRepresentation
bin10100101010100…
…001001101000000
3220011100200210000
4110222201031000
51202223042433
654222440000
711406551043
oct2452411500
9804320700
10346690368
11168774672
1298133000
1356a9793b
1434088c5a
1520683113
hex14aa1340

346690368 has 70 divisors (see below), whose sum is σ = 1027714226. Its totient is φ = 115561728.

The previous prime is 346690363. The next prime is 346690423. The reversal of 346690368 is 863096643.

It can be written as a sum of positive squares in only one way, i.e., 195105024 + 151585344 = 13968^2 + 12312^2 .

It is a super-2 number, since 2×3466903682 = 240388422527950848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346690363) 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, 28255 + ... + 38622.

Almost surely, 2346690368 is an apocalyptic number.

It is an amenable number.

346690368 is an abundant number, since it is smaller than the sum of its proper divisors (681023858).

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

346690368 is an equidigital number, since it uses as much as digits as its factorization.

346690368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66901 (or 66882 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 346690368 is about 18619.6231970467. The cubic root of 346690368 is about 702.5015044526.

The spelling of 346690368 in words is "three hundred forty-six million, six hundred ninety thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 66877 133754 200631 267508 401262 535016 601893 802524 1070032 1203786 1605048 1805679 2140064 2407572 3210096 3611358 4280128 4815144 5417037 6420192 7222716 9630288 10834074 12840384 14445432 19260576 21668148 28890864 38521152 43336296 57781728 86672592 115563456 173345184 346690368