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376612416 = 263472649
BaseRepresentation
bin10110011100101…
…010011001000000
3222020122220010000
4112130222121000
51232403044131
6101212040000
712222103245
oct2634523100
9866586100
10376612416
11183651534
12a6163000
13600432ab
14380375cc
15230e3ce6
hex1672a640

376612416 has 70 divisors (see below), whose sum is σ = 1116412550. Its totient is φ = 125535744.

The previous prime is 376612349. The next prime is 376612421. The reversal of 376612416 is 614216673.

It is a happy number.

376612416 is a `hidden beast` number, since 37 + 6 + 612 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 286286400 + 90326016 = 16920^2 + 9504^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31141 + ... + 41508.

Almost surely, 2376612416 is an apocalyptic number.

376612416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

376612416 is an abundant number, since it is smaller than the sum of its proper divisors (739800134).

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

376612416 is an equidigital number, since it uses as much as digits as its factorization.

376612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72673 (or 72654 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 376612416 is about 19406.5044765924. The cubic root of 376612416 is about 722.1568656738.

It can be divided in two parts, 3766124 and 16, that added together give a triangular number (3766140 = T2744).

The spelling of 376612416 in words is "three hundred seventy-six million, six hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 72649 145298 217947 290596 435894 581192 653841 871788 1162384 1307682 1743576 1961523 2324768 2615364 3487152 3923046 4649536 5230728 5884569 6974304 7846092 10461456 11769138 13948608 15692184 20922912 23538276 31384368 41845824 47076552 62768736 94153104 125537472 188306208 376612416