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434044408 = 237172343461
BaseRepresentation
bin11001110111101…
…111110111111000
31010020201201222211
4121313233313320
51342103410113
6111023024504
713520213410
oct3167576770
91106651884
10434044408
11203008a96
1210143b134
136bc01415
1441907640
152818ab3d
hex19defdf8

434044408 has 128 divisors (see below), whose sum is σ = 1053803520. Its totient is φ = 163215360.

The previous prime is 434044399. The next prime is 434044427. The reversal of 434044408 is 804440434.

It is a self number, because there is not a number n which added to its sum of digits gives 434044408.

It is a congruent number.

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, 941298 + ... + 941758.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2434044408 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 434044408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526901760).

434044408 is an abundant number, since it is smaller than the sum of its proper divisors (619759112).

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

434044408 is a wasteful number, since it uses less digits than its factorization.

434044408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

The square root of 434044408 is about 20833.7324548435. The cubic root of 434044408 is about 757.1432503414.

The spelling of 434044408 in words is "four hundred thirty-four million, forty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 17 23 28 34 43 46 56 68 86 92 119 136 161 172 184 238 301 322 344 391 461 476 602 644 731 782 922 952 989 1204 1288 1462 1564 1844 1978 2408 2737 2924 3128 3227 3688 3956 5117 5474 5848 6454 6923 7837 7912 10234 10603 10948 12908 13846 15674 16813 19823 20468 21206 21896 25816 27692 31348 33626 39646 40936 42412 54859 55384 62696 67252 74221 79292 84824 109718 117691 134504 138761 148442 158584 180251 219436 235382 277522 296884 336991 360502 438872 455929 470764 555044 593768 673982 721004 911858 941528 1110088 1261757 1347964 1442008 1823716 2358937 2523514 2695928 3191503 3647432 4717874 5047028 6383006 7750793 9435748 10094056 12766012 15501586 18871496 25532024 31003172 54255551 62006344 108511102 217022204 434044408