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434314672 = 24112985093
BaseRepresentation
bin11001111000110…
…001110110110000
31010021020110201121
4121320301312300
51342141032142
6111032512024
713522420351
oct3170616660
91107213647
10434314672
11203183050
1210154b614
136bc9743c
1441977d28
15281e0c67
hex19e31db0

434314672 has 40 divisors (see below), whose sum is σ = 949649040. Its totient is φ = 190606080.

The previous prime is 434314667. The next prime is 434314801. The reversal of 434314672 is 276413434.

It is a super-3 number, since 3×4343146723 (a number of 27 digits) contains 333 as substring.

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, 37443 + ... + 47650.

It is an arithmetic number, because the mean of its divisors is an integer number (23741226).

Almost surely, 2434314672 is an apocalyptic number.

It is an amenable number.

434314672 is an abundant number, since it is smaller than the sum of its proper divisors (515334368).

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

434314672 is a wasteful number, since it uses less digits than its factorization.

434314672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85141 (or 85135 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 434314672 is about 20840.2176572127. The cubic root of 434314672 is about 757.3003664511.

The spelling of 434314672 in words is "four hundred thirty-four million, three hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 5104 85093 170186 340372 680744 936023 1361488 1872046 2467697 3744092 4935394 7488184 9870788 14976368 19741576 27144667 39483152 54289334 108578668 217157336 434314672