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434054488 = 2371072677
BaseRepresentation
bin11001110111110…
…010010101011000
31010020202020211011
4121313302111120
51342104220423
6111023143304
713520254660
oct3167622530
91106666734
10434054488
1120301561a
12101444b34
136bc05b9a
144190b1a0
152818db0d
hex19df2558

434054488 has 48 divisors (see below), whose sum is σ = 940277520. Its totient is φ = 184012608.

The previous prime is 434054479. The next prime is 434054503. The reversal of 434054488 is 884450434.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 434054488.

It is a congruent number.

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, 640806 + ... + 641482.

It is an arithmetic number, because the mean of its divisors is an integer number (19589115).

Almost surely, 2434054488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434054488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470138760).

434054488 is an abundant number, since it is smaller than the sum of its proper divisors (506223032).

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

434054488 is a wasteful number, since it uses less digits than its factorization.

434054488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The square root of 434054488 is about 20833.9743688044. The cubic root of 434054488 is about 757.1491114505.

The spelling of 434054488 in words is "four hundred thirty-four million, fifty-four thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 677 749 856 1354 1498 2708 2996 4739 5416 5992 9478 11449 18956 22898 37912 45796 72439 80143 91592 144878 160286 289756 320572 507073 579512 641144 1014146 2028292 4056584 7750973 15501946 31003892 54256811 62007784 108513622 217027244 434054488