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434123970 = 235719108803
BaseRepresentation
bin11001111000000…
…011010011000010
31010020212210010120
4121320003103002
51342113431340
6111024441110
713520664360
oct3170032302
91106783116
10434123970
11203062845
12101479196
136bc2b6b7
1441928630
15281a44d0
hex19e034c2

434123970 has 64 divisors (see below), whose sum is σ = 1253422080. Its totient is φ = 94004928.

The previous prime is 434123959. The next prime is 434123983. The reversal of 434123970 is 79321434.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50412 + ... + 58391.

It is an arithmetic number, because the mean of its divisors is an integer number (19584720).

Almost surely, 2434123970 is an apocalyptic number.

434123970 is an abundant number, since it is smaller than the sum of its proper divisors (819298110).

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

434123970 is a wasteful number, since it uses less digits than its factorization.

434123970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108839.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 434123970 is about 20835.6418187681. The cubic root of 434123970 is about 757.1895099328.

The spelling of 434123970 in words is "four hundred thirty-four million, one hundred twenty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 3990 108803 217606 326409 544015 652818 761621 1088030 1523242 1632045 2067257 2284863 3264090 3808105 4134514 4569726 6201771 7616210 10336285 11424315 12403542 14470799 20672570 22848630 28941598 31008855 43412397 62017710 72353995 86824794 144707990 217061985 434123970