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1349010504 = 233313745587
BaseRepresentation
bin101000001101000…
…0100010001001000
310111000101211112000
41100122010101020
510230321314004
6341505551000
745300254142
oct12032042110
93430354460
101349010504
11632532616
12317945460
13186637b8a
14cb23bc92
157d671c39
hex50684448

1349010504 has 64 divisors (see below), whose sum is σ = 3774686400. Its totient is φ = 446378112.

The previous prime is 1349010479. The next prime is 1349010511. The reversal of 1349010504 is 4050109431.

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 15 ways as a sum of consecutive naturals, for example, 6799 + ... + 52385.

It is an arithmetic number, because the mean of its divisors is an integer number (58979475).

Almost surely, 21349010504 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 1349010504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887343200).

1349010504 is an abundant number, since it is smaller than the sum of its proper divisors (2425675896).

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

1349010504 is a wasteful number, since it uses less digits than its factorization.

1349010504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45739 (or 45729 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1349010504 is about 36728.8783384410. The cubic root of 1349010504 is about 1104.9393588201.

Adding to 1349010504 its reverse (4050109431), we get a palindrome (5399119935).

The spelling of 1349010504 in words is "one billion, three hundred forty-nine million, ten thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 548 822 1096 1233 1644 2466 3288 3699 4932 7398 9864 14796 29592 45587 91174 136761 182348 273522 364696 410283 547044 820566 1094088 1230849 1641132 2461698 3282264 4923396 6245419 9846792 12490838 18736257 24981676 37472514 49963352 56208771 74945028 112417542 149890056 168626313 224835084 337252626 449670168 674505252 1349010504