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431981004 = 223713735419
BaseRepresentation
bin11001101111111…
…000000111001100
31010002211220112110
4121233320013030
51341041343004
6110510504020
713463530560
oct3157700714
91102756473
10431981004
112019297a4
12100805010
136b65b180
144152b6a0
1527dce589
hex19bf81cc

431981004 has 96 divisors (see below), whose sum is σ = 1257786880. Its totient is φ = 112347648.

The previous prime is 431980993. The next prime is 431981021. The reversal of 431981004 is 400189134.

It is a happy 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, 77007 + ... + 82425.

Almost surely, 2431981004 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 431981004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628893440).

431981004 is an abundant number, since it is smaller than the sum of its proper divisors (825805876).

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

431981004 is a wasteful number, since it uses less digits than its factorization.

431981004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5519 (or 5517 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 431981004 is about 20784.1527130648. The cubic root of 431981004 is about 755.9415494688.

The spelling of 431981004 in words is "four hundred thirty-one million, nine hundred eighty-one thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 73 78 84 91 146 156 182 219 273 292 364 438 511 546 876 949 1022 1092 1533 1898 2044 2847 3066 3796 5419 5694 6132 6643 10838 11388 13286 16257 19929 21676 26572 32514 37933 39858 65028 70447 75866 79716 113799 140894 151732 211341 227598 281788 395587 422682 455196 493129 791174 845364 986258 1186761 1479387 1582348 1972516 2373522 2769109 2958774 4747044 5142631 5538218 5917548 8307327 10285262 11076436 15427893 16614654 20570524 30855786 33229308 35998417 61711572 71996834 107995251 143993668 215990502 431981004