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1374875376 = 243767157389
BaseRepresentation
bin101000111110010…
…1110111011110000
310112211001220110020
41101330232323300
510303432003001
6344232203440
746033151010
oct12174567360
93484056406
101374875376
11646099246
12324539580
1318bac2934
14d0851c40
1580a80736
hex51f2eef0

1374875376 has 160 divisors (see below), whose sum is σ = 4156638720. Its totient is φ = 383505408.

The previous prime is 1374875363. The next prime is 1374875423. The reversal of 1374875376 is 6735784731.

It is a super-2 number, since 2×13748753762 = 3780564599062282752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3534190 + ... + 3534578.

It is an arithmetic number, because the mean of its divisors is an integer number (25978992).

Almost surely, 21374875376 is an apocalyptic number.

1374875376 is a gapful number since it is divisible by the number (16) 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 1374875376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2078319360).

1374875376 is an abundant number, since it is smaller than the sum of its proper divisors (2781763344).

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

1374875376 is a wasteful number, since it uses less digits than its factorization.

1374875376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 1374875376 is about 37079.3119677267. The cubic root of 1374875376 is about 1111.9564489612.

The spelling of 1374875376 in words is "one billion, three hundred seventy-four million, eight hundred seventy-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 157 168 201 268 314 336 389 402 469 471 536 628 778 804 938 942 1072 1099 1167 1256 1407 1556 1608 1876 1884 2198 2334 2512 2723 2814 3112 3216 3297 3752 3768 4396 4668 5446 5628 6224 6594 7504 7536 8169 8792 9336 10519 10892 11256 13188 16338 17584 18672 21038 21784 22512 26063 26376 31557 32676 42076 43568 52126 52752 61073 63114 65352 73633 78189 84152 104252 122146 126228 130704 147266 156378 168304 182441 183219 208504 220899 244292 252456 294532 312756 364882 366438 417008 427511 441798 488584 504912 547323 589064 625512 729764 732876 855022 883596 977168 1094646 1178128 1251024 1282533 1459528 1465752 1710044 1767192 2189292 2565066 2919056 2931504 3420088 3534384 4091891 4378584 5130132 6840176 8183782 8757168 10260264 12275673 16367564 20520528 24551346 28643237 32735128 49102692 57286474 65470256 85929711 98205384 114572948 171859422 196410768 229145896 343718844 458291792 687437688 1374875376