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429345672 = 23372555629
BaseRepresentation
bin11001100101110…
…100101110001000
31002220220000112120
4121211310232020
51334403030142
6110334211240
713432243440
oct3145645610
91086800476
10429345672
11200399838
12bb953b20
136ac477c2
1441043120
1527a5d7ec
hex19974b88

429345672 has 32 divisors (see below), whose sum is σ = 1226702400. Its totient is φ = 122670144.

The previous prime is 429345661. The next prime is 429345689. The reversal of 429345672 is 276543924.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277647 + ... + 1277982.

It is an arithmetic number, because the mean of its divisors is an integer number (38334450).

Almost surely, 2429345672 is an apocalyptic number.

429345672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

429345672 is an abundant number, since it is smaller than the sum of its proper divisors (797356728).

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

429345672 is a wasteful number, since it uses less digits than its factorization.

429345672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555645 (or 2555641 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 429345672 is about 20720.6580976570. The cubic root of 429345672 is about 754.4011871047.

The spelling of 429345672 in words is "four hundred twenty-nine million, three hundred forty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2555629 5111258 7666887 10222516 15333774 17889403 20445032 30667548 35778806 53668209 61335096 71557612 107336418 143115224 214672836 429345672