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1349694280 = 2351123197677
BaseRepresentation
bin101000001110010…
…1011001101001000
310111001200120111001
41100130223031020
510231010204110
6341532344344
745306132514
oct12034531510
93431616431
101349694280
1163295a320
123180150b4
1318681718c
14cb379144
157d75963a
hex5072b348

1349694280 has 128 divisors (see below), whose sum is σ = 3479604480. Its totient is φ = 466385920.

The previous prime is 1349694259. The next prime is 1349694361. The reversal of 1349694280 is 824969431.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1349694280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1993302 + ... + 1993978.

It is an arithmetic number, because the mean of its divisors is an integer number (27184410).

Almost surely, 21349694280 is an apocalyptic number.

1349694280 is a gapful number since it is divisible by the number (10) 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 1349694280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739802240).

1349694280 is an abundant number, since it is smaller than the sum of its proper divisors (2129910200).

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

1349694280 is a wasteful number, since it uses less digits than its factorization.

1349694280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 1349694280 is about 36738.1855839398. The cubic root of 1349694280 is about 1105.1260149892.

The spelling of 1349694280 in words is "one billion, three hundred forty-nine million, six hundred ninety-four thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 197 220 230 253 394 440 460 506 677 788 920 985 1012 1265 1354 1576 1970 2024 2167 2530 2708 3385 3940 4334 4531 5060 5416 6770 7447 7880 8668 9062 10120 10835 13540 14894 15571 17336 18124 21670 22655 27080 29788 31142 36248 37235 43340 45310 49841 59576 62284 74470 77855 86680 90620 99682 124568 133369 148940 155710 171281 181240 199364 249205 266738 297880 311420 342562 398728 498410 533476 622840 666845 685124 856405 996820 1066952 1333690 1370248 1467059 1712810 1993640 2667380 2934118 3067487 3425620 5334760 5868236 6134974 6851240 7335295 11736472 12269948 14670590 15337435 24539896 29341180 30674870 33742357 58682360 61349740 67484714 122699480 134969428 168711785 269938856 337423570 674847140 1349694280