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345848896 = 2629316011
BaseRepresentation
bin10100100111010…
…011110001000000
3220002202221111101
4110213103301000
51202014131041
654152424144
711366444551
oct2447236100
9802687441
10345848896
1116824a438
12979a8054
1356861923
1433d0a328
1520568b31
hex149d3c40

345848896 has 56 divisors (see below), whose sum is σ = 732983040. Its totient is φ = 161548800.

The previous prime is 345848873. The next prime is 345848897. The reversal of 345848896 is 698848543.

It is a super-2 number, since 2×3458488962 = 239222917728837632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (345848897) 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, 54531 + ... + 60541.

Almost surely, 2345848896 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 345848896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366491520).

345848896 is an abundant number, since it is smaller than the sum of its proper divisors (387134144).

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

345848896 is a wasteful number, since it uses less digits than its factorization.

345848896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6083 (or 6073 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 55.

The square root of 345848896 is about 18597.0130935051. The cubic root of 345848896 is about 701.9326834853.

The spelling of 345848896 in words is "three hundred forty-five million, eight hundred forty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 232 248 464 496 899 928 992 1798 1856 1984 3596 6011 7192 12022 14384 24044 28768 48088 57536 96176 174319 186341 192352 348638 372682 384704 697276 745364 1394552 1490728 2789104 2981456 5403889 5578208 5962912 10807778 11156416 11925824 21615556 43231112 86462224 172924448 345848896