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377671896 = 23347139599
BaseRepresentation
bin10110100000101…
…101000011011000
3222022122201110000
4112200231003120
51233141000041
6101250453000
712234105150
oct2640550330
9868581400
10377671896
11184205538
12a6594160
13603245c4
1438231760
1523252bb6
hex1682d0d8

377671896 has 160 divisors (see below), whose sum is σ = 1219680000. Its totient is φ = 106951104.

The previous prime is 377671883. The next prime is 377671907. The reversal of 377671896 is 698176773.

It is a super-2 number, since 2×3776718962 = 285272122056469632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 630205 + ... + 630803.

It is an arithmetic number, because the mean of its divisors is an integer number (7623000).

Almost surely, 2377671896 is an apocalyptic number.

377671896 is a gapful number since it is divisible by the number (36) 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 377671896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609840000).

377671896 is an abundant number, since it is smaller than the sum of its proper divisors (842008104).

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

377671896 is a wasteful number, since it uses less digits than its factorization.

377671896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 750 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 377671896 is about 19433.7823390096. The cubic root of 377671896 is about 722.8334183462.

The spelling of 377671896 in words is "three hundred seventy-seven million, six hundred seventy-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 139 162 168 189 216 252 278 324 378 417 504 556 567 599 648 756 834 973 1112 1134 1198 1251 1512 1668 1797 1946 2268 2396 2502 2919 3336 3594 3753 3892 4193 4536 4792 5004 5391 5838 7188 7506 7784 8386 8757 10008 10782 11259 11676 12579 14376 15012 16173 16772 17514 21564 22518 23352 25158 26271 30024 32346 33544 35028 37737 43128 45036 48519 50316 52542 64692 70056 75474 78813 83261 90072 97038 100632 105084 113211 129384 150948 157626 166522 194076 210168 226422 249783 301896 315252 333044 339633 388152 452844 499566 582827 630504 666088 679266 749349 905688 999132 1165654 1358532 1498698 1748481 1998264 2248047 2331308 2717064 2997396 3496962 4496094 4662616 5245443 5994792 6744141 6993924 8992188 10490886 13488282 13987848 15736329 17984376 20981772 26976564 31472658 41963544 47208987 53953128 62945316 94417974 125890632 188835948 377671896