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434268492 = 223711345751
BaseRepresentation
bin11001111000100…
…110100101001100
31010021011010101020
4121320212211030
51342133042432
6111031514140
713522135620
oct3170464514
91107133336
10434268492
11203151389
12101528950
136bc7c408
1441965180
15281d222c
hex19e2694c

434268492 has 48 divisors (see below), whose sum is σ = 1168323072. Its totient is φ = 122976000.

The previous prime is 434268463. The next prime is 434268509. The reversal of 434268492 is 294862434.

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 15 ways as a sum of consecutive naturals, for example, 13384 + ... + 32367.

It is an arithmetic number, because the mean of its divisors is an integer number (24340064).

Almost surely, 2434268492 is an apocalyptic number.

434268492 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

434268492 is an abundant number, since it is smaller than the sum of its proper divisors (734054580).

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

434268492 is a wasteful number, since it uses less digits than its factorization.

434268492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45878 (or 45876 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 434268492 is about 20839.1096738800. The cubic root of 434268492 is about 757.2735246451.

The spelling of 434268492 in words is "four hundred thirty-four million, two hundred sixty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 113 226 339 452 678 791 1356 1582 2373 3164 4746 9492 45751 91502 137253 183004 274506 320257 549012 640514 960771 1281028 1921542 3843084 5169863 10339726 15509589 20679452 31019178 36189041 62038356 72378082 108567123 144756164 217134246 434268492