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349712225928 = 233413217872
BaseRepresentation
bin1010001011011000111…
…10010001011010001000
31020102200001020202120000
411011230132101122020
521212202312212203
6424353334403000
734160123605542
oct5055436213210
91212601222500
10349712225928
1112534848643a
1257939b00460
1326c93091600
1412cd7562692
15916bb5c4a3
hex516c791688

349712225928 has 180 divisors, whose sum is σ = 1061255421765. Its totient is φ = 107543547072.

The previous prime is 349712225873. The next prime is 349712225959. The reversal of 349712225928 is 829522217943.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

349712225928 is a `hidden beast` number, since 3 + 49 + 7 + 1 + 2 + 2 + 2 + 592 + 8 = 666.

349712225928 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 299014299684 + 50697926244 = 546822^2 + 225162^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=418158.

It is a super-2 number, since 2×3497122259282 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 195697051 + ... + 195698837.

Almost surely, 2349712225928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349712225928

349712225928 is an abundant number, since it is smaller than the sum of its proper divisors (711543195837).

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

349712225928 is an equidigital number, since it uses as much as digits as its factorization.

349712225928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3618 (or 1805 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 349712225928 in words is "three hundred forty-nine billion, seven hundred twelve million, two hundred twenty-five thousand, nine hundred twenty-eight".