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34457350656 = 29322433171
BaseRepresentation
bin100000000101110100…
…010111001000000000
310021221101120202222110
4200011310113020000
51031032040210111
623455100335320
72326612435161
oct400564271000
9107841522873
1034457350656
1113682304603
126817844540
1333319881b1
14194c411768
15d6a0e05a6
hex805d17200

34457350656 has 40 divisors (see below), whose sum is σ = 91796539824. Its totient is φ = 11485783040.

The previous prime is 34457350597. The next prime is 34457350657. The reversal of 34457350656 is 65605375443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (34457350657) 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 3 ways as a sum of consecutive naturals, for example, 11215050 + ... + 11218121.

Almost surely, 234457350656 is an apocalyptic number.

It is an amenable number.

34457350656 is an abundant number, since it is smaller than the sum of its proper divisors (57339189168).

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

34457350656 is an equidigital number, since it uses as much as digits as its factorization.

34457350656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22433192 (or 22433176 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 34457350656 in words is "thirty-four billion, four hundred fifty-seven million, three hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 22433171 44866342 67299513 89732684 134599026 179465368 269198052 358930736 538396104 717861472 1076792208 1435722944 2153584416 2871445888 4307168832 5742891776 8614337664 11485783552 17228675328 34457350656