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345182720 = 295134837
BaseRepresentation
bin10100100100110…
…001001000000000
3220001112002200012
4110210301020000
51201331321340
654130244052
711361001421
oct2444611000
9801462605
10345182720
11167934983
1297726628
135668a63c
1433bb5648
1520486565
hex14931200

345182720 has 40 divisors (see below), whose sum is σ = 827635644. Its totient is φ = 138072064.

The previous prime is 345182699. The next prime is 345182729. The reversal of 345182720 is 27281543.

It can be written as a sum of positive squares in 2 ways, for example, as 336795904 + 8386816 = 18352^2 + 2896^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3451827202 = 238302220373196800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (345182729) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64859 + ... + 69978.

Almost surely, 2345182720 is an apocalyptic number.

It is an amenable number.

345182720 is an abundant number, since it is smaller than the sum of its proper divisors (482452924).

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

345182720 is an equidigital number, since it uses as much as digits as its factorization.

345182720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134860 (or 134844 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 345182720 is about 18579.0936269776. The cubic root of 345182720 is about 701.4817049679.

The spelling of 345182720 in words is "three hundred forty-five million, one hundred eighty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 134837 269674 539348 674185 1078696 1348370 2157392 2696740 4314784 5393480 8629568 10786960 17259136 21573920 34518272 43147840 69036544 86295680 172591360 345182720