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1349473632 = 253131956911
BaseRepresentation
bin101000001101111…
…0101010101100000
310111001021100210220
41100123311111200
510230431124012
6341523523040
745304223313
oct12033652540
93431240726
101349473632
11632819571
12317b29480
1318676a910
14cb31c97a
157d71408c
hex506f5560

1349473632 has 96 divisors (see below), whose sum is σ = 4015710720. Its totient is φ = 393361920.

The previous prime is 1349473627. The next prime is 1349473649. The reversal of 1349473632 is 2363749431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4744 + ... + 52167.

It is an arithmetic number, because the mean of its divisors is an integer number (41830320).

Almost surely, 21349473632 is an apocalyptic number.

1349473632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349473632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007855360).

1349473632 is an abundant number, since it is smaller than the sum of its proper divisors (2666237088).

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

1349473632 is a wasteful number, since it uses less digits than its factorization.

1349473632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56956 (or 56948 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 1349473632 is about 36735.1824821927. The cubic root of 1349473632 is about 1105.0657897126.

The spelling of 1349473632 in words is "one billion, three hundred forty-nine million, four hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 912 988 1248 1482 1824 1976 2964 3952 5928 7904 11856 23712 56911 113822 170733 227644 341466 455288 682932 739843 910576 1081309 1365864 1479686 1821152 2162618 2219529 2731728 2959372 3243927 4325236 4439058 5463456 5918744 6487854 8650472 8878116 11837488 12975708 14057017 17300944 17756232 23674976 25951416 28114034 34601888 35512464 42171051 51902832 56228068 71024928 84342102 103805664 112456136 168684204 224912272 337368408 449824544 674736816 1349473632