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345624420 = 223510195653
BaseRepresentation
bin10100100110011…
…100111101100100
3220002100112120110
4110212130331210
51201434440140
654143533020
711364521241
oct2446347544
9802315513
10345624420
11168106819
12978ba170
13567b36bb
1433c8c5c8
1520522380
hex1499cf64

345624420 has 48 divisors (see below), whose sum is σ = 968869440. Its totient is φ = 92059776.

The previous prime is 345624401. The next prime is 345624443. The reversal of 345624420 is 24426543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58314 + ... + 63966.

It is an arithmetic number, because the mean of its divisors is an integer number (20184780).

Almost surely, 2345624420 is an apocalyptic number.

345624420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

345624420 is an abundant number, since it is smaller than the sum of its proper divisors (623245020).

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

345624420 is a wasteful number, since it uses less digits than its factorization.

345624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 345624420 is about 18590.9768436196. The cubic root of 345624420 is about 701.7807856043.

The spelling of 345624420 in words is "three hundred forty-five million, six hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1019 2038 3057 4076 5095 5653 6114 10190 11306 12228 15285 16959 20380 22612 28265 30570 33918 56530 61140 67836 84795 113060 169590 339180 5760407 11520814 17281221 23041628 28802035 34562442 57604070 69124884 86406105 115208140 172812210 345624420