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431243046 = 2321321731269
BaseRepresentation
bin11001101101000…
…011111100100110
31010001110102020200
4121231003330212
51340344234141
6110443011330
713454335233
oct3155037446
91101412220
10431243046
11201475313
12100509b46
136b460300
14413b878a
1527cd5ab6
hex19b43f26

431243046 has 144 divisors (see below), whose sum is σ = 1109946240. Its totient is φ = 120407040.

The previous prime is 431243039. The next prime is 431243051. The reversal of 431243046 is 640342134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1603000 + ... + 1603268.

It is an arithmetic number, because the mean of its divisors is an integer number (7707960).

Almost surely, 2431243046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431243046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554973120).

431243046 is an abundant number, since it is smaller than the sum of its proper divisors (678703194).

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

431243046 is a wasteful number, since it uses less digits than its factorization.

431243046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 431243046 is about 20766.3922239757. The cubic root of 431243046 is about 755.5108429695.

The spelling of 431243046 in words is "four hundred thirty-one million, two hundred forty-three thousand, forty-six".

Divisors: 1 2 3 6 9 13 17 18 26 31 34 39 51 62 78 93 102 117 153 169 186 221 234 269 279 306 338 403 442 507 527 538 558 663 806 807 1014 1054 1209 1326 1521 1581 1614 1989 2418 2421 2873 3042 3162 3497 3627 3978 4573 4743 4842 5239 5746 6851 6994 7254 8339 8619 9146 9486 10478 10491 13702 13719 15717 16678 17238 20553 20982 25017 25857 27438 31434 31473 41106 41157 45461 47151 50034 51714 59449 61659 62946 75051 82314 89063 90922 94302 108407 118898 123318 136383 141763 150102 178126 178347 216814 267189 272766 283526 325221 356694 409149 425289 534378 535041 650442 772837 801567 818298 850578 975663 1070082 1275867 1409291 1545674 1603134 1842919 1951326 2318511 2551734 2818582 3685838 4227873 4637022 5528757 6955533 8455746 11057514 12683619 13911066 16586271 23957947 25367238 33172542 47915894 71873841 143747682 215621523 431243046