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1329477444 = 22325921032
BaseRepresentation
bin100111100111110…
…0011011101000100
310102122122110012100
41033033203131010
510210321234234
6335531152100
744642241351
oct11717433504
93378573170
101329477444
11622501099
123112a5630
13182589159
14c87d5628
157bab4399
hex4f3e3744

1329477444 has 81 divisors (see below), whose sum is σ = 3452060703. Its totient is φ = 431418384.

The previous prime is 1329477427. The next prime is 1329477463. The reversal of 1329477444 is 4447749231.

The square root of 1329477444 is 36462.

It is a perfect power (a square), and thus also a powerful number.

1329477444 is a `hidden beast` number, since 132 + 9 + 4 + 77 + 444 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1329477444.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12907497 + ... + 12907599.

Almost surely, 21329477444 is an apocalyptic number.

1329477444 is the 36462-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329477444

1329477444 is an abundant number, since it is smaller than the sum of its proper divisors (2122583259).

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

1329477444 is a wasteful number, since it uses less digits than its factorization.

1329477444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 167 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The cubic root of 1329477444 is about 1099.5804030498.

The spelling of 1329477444 in words is "one billion, three hundred twenty-nine million, four hundred seventy-seven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 103 118 177 206 236 309 354 412 531 618 708 927 1062 1236 1854 2124 3481 3708 6077 6962 10443 10609 12154 13924 18231 20886 21218 24308 31329 31827 36462 41772 42436 54693 62658 63654 72924 95481 109386 125316 127308 190962 218772 358543 381924 625931 717086 1075629 1251862 1434172 1877793 2151258 2503724 3226887 3755586 4302516 5633379 6453774 7511172 11266758 12907548 22533516 36929929 73859858 110789787 147719716 221579574 332369361 443159148 664738722 1329477444