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1374086376 = 233313571857
BaseRepresentation
bin101000111100110…
…1110010011101000
310112202120211011000
41101321232103220
510303231231001
6344203235000
746023353505
oct12171562350
93482524130
101374086376
116456aa483
12324218a60
1318b8a7780
14d06c84ac
1580976a86
hex51e6e4e8

1374086376 has 128 divisors (see below), whose sum is σ = 4122518400. Its totient is φ = 421562880.

The previous prime is 1374086291. The next prime is 1374086411. The reversal of 1374086376 is 6736804731.

1374086376 is a `hidden beast` number, since 1 + 3 + 7 + 4 + 0 + 8 + 637 + 6 = 666.

It is a super-2 number, since 2×13740863762 = 3776226737417626752, which contains 22 as substring.

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, 1602940 + ... + 1603796.

It is an arithmetic number, because the mean of its divisors is an integer number (32207175).

Almost surely, 21374086376 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 1374086376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2061259200).

1374086376 is an abundant number, since it is smaller than the sum of its proper divisors (2748432024).

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

1374086376 is a wasteful number, since it uses less digits than its factorization.

1374086376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 1374086376 is about 37068.6710848932. The cubic root of 1374086376 is about 1111.7437020382.

The spelling of 1374086376 in words is "one billion, three hundred seventy-four million, eighty-six thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 571 702 857 936 1142 1404 1713 1714 2284 2571 2808 3426 3428 4568 5139 5142 6852 6856 7423 7713 10278 10284 11141 13704 14846 15417 15426 20556 20568 22269 22282 23139 29692 30834 30852 33423 41112 44538 44564 46278 59384 61668 61704 66807 66846 89076 89128 92556 100269 123336 133614 133692 178152 185112 200421 200538 267228 267384 300807 400842 401076 489347 534456 601614 801684 802152 978694 1203228 1468041 1603368 1957388 2406456 2936082 3914776 4404123 5872164 6361511 8808246 11744328 12723022 13212369 17616492 19084533 25446044 26424738 35232984 38169066 50892088 52849476 57253599 76338132 105698952 114507198 152676264 171760797 229014396 343521594 458028792 687043188 1374086376