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345134376 = 23324793533
BaseRepresentation
bin10100100100100…
…101010100101000
3220001102122100200
4110210211110220
51201323300001
654125232200
711360410446
oct2444452450
9801378320
10345134376
11167901624
1297702660
1356671632
1433ba1b96
1520477086
hex14925528

345134376 has 24 divisors (see below), whose sum is σ = 934739130. Its totient is φ = 115044768.

The previous prime is 345134371. The next prime is 345134399. The reversal of 345134376 is 673431543.

345134376 is a `hidden beast` number, since 34 + 513 + 43 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 339517476 + 5616900 = 18426^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×3451343763 (a number of 27 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 345134376.

It is not an unprimeable number, because it can be changed into a prime (345134371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2396695 + ... + 2396838.

Almost surely, 2345134376 is an apocalyptic number.

345134376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

345134376 is an abundant number, since it is smaller than the sum of its proper divisors (589604754).

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

345134376 is a wasteful number, since it uses less digits than its factorization.

345134376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4793545 (or 4793538 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 345134376 is about 18577.7925491701. The cubic root of 345134376 is about 701.4489551489.

It can be divided in two parts, 34 and 5134376, that added together give a triangular number (5134410 = T3204).

The spelling of 345134376 in words is "three hundred forty-five million, one hundred thirty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4793533 9587066 14380599 19174132 28761198 38348264 43141797 57522396 86283594 115044792 172567188 345134376