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1349991504 = 2432157211283
BaseRepresentation
bin101000001110111…
…0011110001010000
310111002020200012100
41100131303301100
510231044212004
6341543000400
745311511201
oct12035636120
93432220170
101349991504
11633042664
12318139100
131868bc554
14cb4155a8
157d7b7739
hex50773c50

1349991504 has 120 divisors (see below), whose sum is σ = 3833684192. Its totient is φ = 443439360.

The previous prime is 1349991497. The next prime is 1349991521. The reversal of 1349991504 is 4051999431.

1349991504 is a `hidden beast` number, since 1 + 3 + 499 + 9 + 150 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1349991504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4770147 + ... + 4770429.

Almost surely, 21349991504 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 1349991504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1916842096).

1349991504 is an abundant number, since it is smaller than the sum of its proper divisors (2483692688).

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

1349991504 is a wasteful number, since it uses less digits than its factorization.

1349991504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1349991504 is about 36742.2305256499. The cubic root of 1349991504 is about 1105.2071311034.

It can be divided in two parts, 134999 and 1504, that added together give a triangular number (136503 = T522).

The spelling of 1349991504 in words is "one billion, three hundred forty-nine million, nine hundred ninety-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 211 283 314 422 471 566 628 633 844 849 942 1132 1256 1266 1413 1688 1698 1884 1899 2264 2512 2532 2547 2826 3376 3396 3768 3798 4528 5064 5094 5652 6792 7536 7596 10128 10188 11304 13584 15192 20376 22608 30384 33127 40752 44431 59713 66254 88862 99381 119426 132508 133293 177724 179139 198762 238852 265016 266586 298143 355448 358278 397524 399879 477704 530032 533172 537417 596286 710896 716556 795048 799758 955408 1066344 1074834 1192572 1433112 1590096 1599516 2132688 2149668 2385144 2866224 3199032 4299336 4770288 6398064 8598672 9374941 18749882 28124823 37499764 56249646 74999528 84374469 112499292 149999056 168748938 224998584 337497876 449997168 674995752 1349991504