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345678912 = 26321733469
BaseRepresentation
bin10100100110101…
…010010001000000
3220002110022022200
4110212222101000
51201443211122
654145033200
711365136145
oct2446522100
9802408280
10345678912
11168143757
1297925800
1356802447
1433ca43cc
15205335ac
hex149aa440

345678912 has 84 divisors (see below), whose sum is σ = 996840780. Its totient is φ = 114527232.

The previous prime is 345678911. The next prime is 345678919. The reversal of 345678912 is 219876543.

345678912 is a `hidden beast` number, since 3 + 4 + 567 + 89 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 149230656 + 196448256 = 12216^2 + 14016^2 .

It is not an unprimeable number, because it can be changed into a prime (345678911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97914 + ... + 101382.

Almost surely, 2345678912 is an apocalyptic number.

345678912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345678912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498420390).

345678912 is an abundant number, since it is smaller than the sum of its proper divisors (651161868).

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

345678912 is a wasteful number, since it uses less digits than its factorization.

345678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660 (or 3647 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 345678912 is about 18592.4423355298. The cubic root of 345678912 is about 701.8176651637.

The spelling of 345678912 in words is "three hundred forty-five million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 3469 4152 5536 6228 6938 8304 10407 11072 12456 13876 16608 20814 24912 27752 31221 33216 41628 49824 55504 62442 83256 99648 111008 124884 166512 222016 249768 333024 499536 600137 666048 999072 1200274 1800411 1998144 2400548 3600822 4801096 5401233 7201644 9602192 10802466 14403288 19204384 21604932 28806576 38408768 43209864 57613152 86419728 115226304 172839456 345678912