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374666370 = 2351329157211
BaseRepresentation
bin10110010101001…
…111010010000010
3222010000000122020
4112111033102002
51231403310440
6101102222310
712166416531
oct2625172202
9863000566
10374666370
11182542431
12a5584996
135c8115a0
1437a8c318
1522d5c3d0
hex1654f482

374666370 has 128 divisors (see below), whose sum is σ = 1012919040. Its totient is φ = 88058880.

The previous prime is 374666359. The next prime is 374666371. The reversal of 374666370 is 73666473.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (374666371) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1775565 + ... + 1775775.

It is an arithmetic number, because the mean of its divisors is an integer number (7913430).

Almost surely, 2374666370 is an apocalyptic number.

374666370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 374666370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506459520).

374666370 is an abundant number, since it is smaller than the sum of its proper divisors (638252670).

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

374666370 is a wasteful number, since it uses less digits than its factorization.

374666370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420.

The product of its (nonzero) digits is 381024, while the sum is 42.

The square root of 374666370 is about 19356.3005246354. The cubic root of 374666370 is about 720.9108649347.

The spelling of 374666370 in words is "three hundred seventy-four million, six hundred sixty-six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 157 174 195 211 290 314 377 390 422 435 471 633 754 785 870 942 1055 1131 1266 1570 1885 2041 2110 2262 2355 2743 3165 3770 4082 4553 4710 5486 5655 6119 6123 6330 8229 9106 10205 11310 12238 12246 13659 13715 16458 18357 20410 22765 27318 27430 30595 30615 33127 36714 41145 45530 59189 61190 61230 66254 68295 79547 82290 91785 99381 118378 136590 159094 165635 177567 183570 198762 238641 295945 331270 355134 397735 430651 477282 496905 591890 795470 861302 887835 960683 993810 1193205 1291953 1775670 1921366 2153255 2386410 2583906 2882049 4306510 4803415 5764098 6459765 9606830 12488879 12919530 14410245 24977758 28820490 37466637 62444395 74933274 124888790 187333185 374666370