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431113104 = 2436231607
BaseRepresentation
bin11001101100100…
…100001110010000
31010001012211000000
4121230210032100
51340331104404
6110440130000
713453254342
oct3154441620
91101184000
10431113104
11201396724
12100466900
136b416116
1441383292
1527cac339
hex19b24390

431113104 has 140 divisors (see below), whose sum is σ = 1307612736. Its totient is φ = 137370816.

The previous prime is 431113103. The next prime is 431113117. The reversal of 431113104 is 401311134.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (431113103) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 267469 + ... + 269075.

Almost surely, 2431113104 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 431113104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653806368).

431113104 is an abundant number, since it is smaller than the sum of its proper divisors (876499632).

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

431113104 is a wasteful number, since it uses less digits than its factorization.

431113104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 431113104 is about 20763.2633273289. The cubic root of 431113104 is about 755.4349519277.

Adding to 431113104 its reverse (401311134), we get a palindrome (832424238).

The spelling of 431113104 in words is "four hundred thirty-one million, one hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 729 828 972 1104 1242 1296 1458 1607 1656 1863 1944 2484 2916 3214 3312 3726 3888 4821 4968 5589 5832 6428 7452 9642 9936 11178 11664 12856 14463 14904 16767 19284 22356 25712 28926 29808 33534 36961 38568 43389 44712 57852 67068 73922 77136 86778 89424 110883 115704 130167 134136 147844 173556 221766 231408 260334 268272 295688 332649 347112 390501 443532 520668 591376 665298 694224 781002 887064 997947 1041336 1171503 1330596 1562004 1774128 1995894 2082672 2343006 2661192 2993841 3124008 3991788 4686012 5322384 5987682 6248016 7983576 8981523 9372024 11975364 15967152 17963046 18744048 23950728 26944569 35926092 47901456 53889138 71852184 107778276 143704368 215556552 431113104