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428309352 = 233229205129
BaseRepresentation
bin11001100001110…
…111101101101000
31002211221100222100
4121201313231220
51334121344402
6110300053400
713420366212
oct3141675550
91084840870
10428309352
111aa851179
12bb534260
136a973bb3
1440c535b2
152790671c
hex19877b68

428309352 has 48 divisors (see below), whose sum is σ = 1200010500. Its totient is φ = 137846016.

The previous prime is 428309341. The next prime is 428309363. The reversal of 428309352 is 253903824.

It is an interprime number because it is at equal distance from previous prime (428309341) and next prime (428309363).

It can be written as a sum of positive squares in 2 ways, for example, as 396567396 + 31741956 = 19914^2 + 5634^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100477 + ... + 104652.

Almost surely, 2428309352 is an apocalyptic number.

It is an amenable number.

428309352 is an abundant number, since it is smaller than the sum of its proper divisors (771701148).

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

428309352 is a wasteful number, since it uses less digits than its factorization.

428309352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205170 (or 205163 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 428309352 is about 20695.6360617402. The cubic root of 428309352 is about 753.7937271564.

The spelling of 428309352 in words is "four hundred twenty-eight million, three hundred nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 205129 410258 615387 820516 1230774 1641032 1846161 2461548 3692322 4923096 5948741 7384644 11897482 14769288 17846223 23794964 35692446 47589928 53538669 71384892 107077338 142769784 214154676 428309352