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104431464 = 23333773179
BaseRepresentation
bin1100011100101…
…11111101101000
321021111200001000
412032113331220
5203213301324
614210155000
72405436624
oct616277550
9237450030
10104431464
1153a489a5
122ab82a60
1318835887
14dc26184
15927c9c9
hex6397f68

104431464 has 128 divisors (see below), whose sum is σ = 303696000. Its totient is φ = 33219072.

The previous prime is 104431441. The next prime is 104431471. The reversal of 104431464 is 464134401.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 583327 + ... + 583505.

It is an arithmetic number, because the mean of its divisors is an integer number (2372625).

Almost surely, 2104431464 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 104431464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151848000).

104431464 is an abundant number, since it is smaller than the sum of its proper divisors (199264536).

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

104431464 is a wasteful number, since it uses less digits than its factorization.

104431464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 104431464 is about 10219.1713949811. The cubic root of 104431464 is about 470.9163712124.

Adding to 104431464 its reverse (464134401), we get a palindrome (568565865).

The spelling of 104431464 in words is "one hundred four million, four hundred thirty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 73 74 108 111 146 148 179 216 219 222 292 296 333 358 438 444 537 584 657 666 716 876 888 999 1074 1314 1332 1432 1611 1752 1971 1998 2148 2628 2664 2701 3222 3942 3996 4296 4833 5256 5402 6444 6623 7884 7992 8103 9666 10804 12888 13067 13246 15768 16206 19332 19869 21608 24309 26134 26492 32412 38664 39201 39738 48618 52268 52984 59607 64824 72927 78402 79476 97236 104536 117603 119214 145854 156804 158952 178821 194472 235206 238428 291708 313608 352809 357642 470412 476856 483479 583416 705618 715284 940824 966958 1411236 1430568 1450437 1933916 2822472 2900874 3867832 4351311 5801748 8702622 11603496 13053933 17405244 26107866 34810488 52215732 104431464