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34314404240232 = 2332476588947781
BaseRepresentation
bin1111100110101011100011…
…11000000001101101101000
311111111102110211102201002100
413303111301320001231220
513444201344441141412
6200551453015133400
710141063632345324
oct763256170015550
9144442424381070
1034314404240232
11aa2a725689896
123a22440674260
13161bab033ca4c
14868b7c890984
153e78e2cc5edc
hex1f3571e01b68

34314404240232 has 24 divisors (see below), whose sum is σ = 92934844817490. Its totient is φ = 11438134746720.

The previous prime is 34314404240209. The next prime is 34314404240321. The reversal of 34314404240232 is 23204240441343.

34314404240232 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 4 + 404 + 240 + 2 + 3 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34312485274596 + 1918965636 = 5857686^2 + 43806^2 .

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

It is a super-2 number, since 2×343144042402322 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238294473819 + ... + 238294473962.

Almost surely, 234314404240232 is an apocalyptic number.

It is an amenable number.

34314404240232 is an abundant number, since it is smaller than the sum of its proper divisors (58620440577258).

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

34314404240232 is a wasteful number, since it uses less digits than its factorization.

34314404240232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476588947793 (or 476588947786 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34314404240232 its reverse (23204240441343), we get a palindrome (57518644681575).

The spelling of 34314404240232 in words is "thirty-four trillion, three hundred fourteen billion, four hundred four million, two hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 476588947781 953177895562 1429766843343 1906355791124 2859533686686 3812711582248 4289300530029 5719067373372 8578601060058 11438134746744 17157202120116 34314404240232