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374671680 = 2635443881
BaseRepresentation
bin10110010101010…
…000100101000000
3222010000021220220
4112111100211000
51231403443210
6101102303040
712166441155
oct2625204500
9863007826
10374671680
11182546419
12a5587a80
135c813b26
1437a9022c
1522d5dc70
hex16550940

374671680 has 112 divisors (see below), whose sum is σ = 1193621184. Its totient is φ = 99573760.

The previous prime is 374671663. The next prime is 374671741. The reversal of 374671680 is 86176473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 424840 + ... + 425720.

It is an arithmetic number, because the mean of its divisors is an integer number (10657332).

Almost surely, 2374671680 is an apocalyptic number.

374671680 is a gapful number since it is divisible by the number (30) 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 374671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596810592).

374671680 is an abundant number, since it is smaller than the sum of its proper divisors (818949504).

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

374671680 is a wasteful number, since it uses less digits than its factorization.

374671680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 374671680 is about 19356.4376887897. The cubic root of 374671680 is about 720.9142706479.

The spelling of 374671680 in words is "three hundred seventy-four million, six hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 443 480 881 886 960 1329 1762 1772 2215 2643 2658 3524 3544 4405 4430 5286 5316 6645 7048 7088 8810 8860 10572 10632 13215 13290 14096 14176 17620 17720 21144 21264 26430 26580 28192 28352 35240 35440 42288 42528 52860 53160 56384 70480 70880 84576 85056 105720 106320 140960 141760 169152 211440 212640 281920 390283 422880 425280 780566 845760 1170849 1561132 1951415 2341698 3122264 3902830 4683396 5854245 6244528 7805660 9366792 11708490 12489056 15611320 18733584 23416980 24978112 31222640 37467168 46833960 62445280 74934336 93667920 124890560 187335840 374671680