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34347609312 = 253566963113
BaseRepresentation
bin11111111111010001…
…101110110011100000
310021122202002100011020
4133333101232303200
51030320441444222
623440140245440
72324110601442
oct377721566340
9107582070136
1034347609312
111362636a285
1267a6b40880
1333150137a3
14193ba06492
15d6066465c
hex7ff46ece0

34347609312 has 48 divisors (see below), whose sum is σ = 90179807760. Its totient is φ = 11447002112.

The previous prime is 34347609311. The next prime is 34347609391. The reversal of 34347609312 is 21390674343.

It is a happy number.

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

It is a super-2 number, since 2×343476093122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34347609311) 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, 512668 + ... + 575780.

It is an arithmetic number, because the mean of its divisors is an integer number (1878745995).

Almost surely, 234347609312 is an apocalyptic number.

34347609312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34347609312 is an abundant number, since it is smaller than the sum of its proper divisors (55832198448).

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

34347609312 is a wasteful number, since it uses less digits than its factorization.

34347609312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68795 (or 68787 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 34347609312 in words is "thirty-four billion, three hundred forty-seven million, six hundred nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5669 11338 17007 22676 34014 45352 63113 68028 90704 126226 136056 181408 189339 252452 272112 378678 504904 544224 757356 1009808 1514712 2019616 3029424 6058848 357787597 715575194 1073362791 1431150388 2146725582 2862300776 4293451164 5724601552 8586902328 11449203104 17173804656 34347609312