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431554068 = 223411196373
BaseRepresentation
bin11001101110001…
…111111000010100
31010002001012220000
4121232033320110
51340434212233
6110453411300
713460102061
oct3156177024
91102035800
10431554068
11201667a60
12100639b30
136b53ba4a
1441459c68
1527d47d13
hex19b8fe14

431554068 has 120 divisors (see below), whose sum is σ = 1295706720. Its totient is φ = 123871680.

The previous prime is 431554043. The next prime is 431554091. The reversal of 431554068 is 860455134.

It is a happy number.

431554068 is a `hidden beast` number, since 43 + 1 + 554 + 0 + 68 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 64530 + ... + 70902.

It is an arithmetic number, because the mean of its divisors is an integer number (10797556).

Almost surely, 2431554068 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 431554068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647853360).

431554068 is an abundant number, since it is smaller than the sum of its proper divisors (864152652).

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

431554068 is a wasteful number, since it uses less digits than its factorization.

431554068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6419 (or 6408 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 431554068 is about 20773.8794643658. The cubic root of 431554068 is about 755.6924296851.

The spelling of 431554068 in words is "four hundred thirty-one million, five hundred fifty-four thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 27 33 36 38 44 54 57 66 76 81 99 108 114 132 162 171 198 209 228 297 324 342 396 418 513 594 627 684 836 891 1026 1188 1254 1539 1782 1881 2052 2508 3078 3564 3762 5643 6156 6373 7524 11286 12746 16929 19119 22572 25492 33858 38238 57357 67716 70103 76476 114714 121087 140206 172071 210309 229428 242174 280412 344142 363261 420618 484348 516213 630927 688284 726522 841236 1032426 1089783 1261854 1331957 1453044 1892781 2064852 2179566 2523708 2663914 3269349 3785562 3995871 4359132 5327828 5678343 6538698 7571124 7991742 9808047 11356686 11987613 13077396 15983484 19616094 22713372 23975226 35962839 39232188 47950452 71925678 107888517 143851356 215777034 431554068