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1349525280 = 253517165383
BaseRepresentation
bin101000001110000…
…0001111100100000
310111001100222122210
41100130001330200
510230434302110
6341525002120
745304530015
oct12034017440
93431328583
101349525280
11632854354
12317b53340
1318678828c
14cb33370c
157d724520
hex50701f20

1349525280 has 96 divisors (see below), whose sum is σ = 4501090944. Its totient is φ = 338702336.

The previous prime is 1349525269. The next prime is 1349525311. The reversal of 1349525280 is 825259431.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74532 + ... + 90851.

It is an arithmetic number, because the mean of its divisors is an integer number (46886364).

Almost surely, 21349525280 is an apocalyptic number.

1349525280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1349525280 is an abundant number, since it is smaller than the sum of its proper divisors (3151565664).

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

1349525280 is a wasteful number, since it uses less digits than its factorization.

1349525280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165418 (or 165410 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 1349525280 is about 36735.8854527831. The cubic root of 1349525280 is about 1105.0798874834.

The spelling of 1349525280 in words is "one billion, three hundred forty-nine million, five hundred twenty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 165383 330766 496149 661532 826915 992298 1323064 1653830 1984596 2480745 2646128 2811511 3307660 3969192 4961490 5292256 5623022 6615320 7938384 8434533 9922980 11246044 13230640 14057555 15876768 16869066 19845960 22492088 26461280 28115110 33738132 39691920 42172665 44984176 56230220 67476264 79383840 84345330 89968352 112460440 134952528 168690660 224920880 269905056 337381320 449841760 674762640 1349525280