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374490072 = 2332112272083
BaseRepresentation
bin10110010100100…
…100001111011000
3222002200001210200
4112110210033120
51231332140242
6101054342200
712165053535
oct2624441730
9862601720
10374490072
11182431a30
12a54ba960
135c77c278
1437a43d8c
1522d2504c
hex165243d8

374490072 has 96 divisors (see below), whose sum is σ = 1111855680. Its totient is φ = 112927680.

The previous prime is 374490037. The next prime is 374490089. The reversal of 374490072 is 270094473.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178743 + ... + 180825.

It is an arithmetic number, because the mean of its divisors is an integer number (11581830).

Almost surely, 2374490072 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 374490072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555927840).

374490072 is an abundant number, since it is smaller than the sum of its proper divisors (737365608).

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

374490072 is a wasteful number, since it uses less digits than its factorization.

374490072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 374490072 is about 19351.7459677415. The cubic root of 374490072 is about 720.7977731337.

The spelling of 374490072 in words is "three hundred seventy-four million, four hundred ninety thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 227 264 396 454 681 792 908 1362 1816 2043 2083 2497 2724 4086 4166 4994 5448 6249 7491 8172 8332 9988 12498 14982 16344 16664 18747 19976 22473 22913 24996 29964 37494 44946 45826 49992 59928 68739 74988 89892 91652 137478 149976 179784 183304 206217 274956 412434 472841 549912 824868 945682 1418523 1649736 1891364 2837046 3782728 4255569 5201251 5674092 8511138 10402502 11348184 15603753 17022276 20805004 31207506 34044552 41610008 46811259 62415012 93622518 124830024 187245036 374490072