Search a number
-
+
374850420 = 223578591039
BaseRepresentation
bin10110010101111…
…100001101110100
3222010100101002220
4112111330031310
51231430203140
6101110202340
712201114240
oct2625741564
9863311086
10374850420
1118265873a
12a56533b0
135c8772a9
1437ad9420
1522d96bd0
hex1657c374

374850420 has 96 divisors (see below), whose sum is σ = 1202073600. Its totient is φ = 85497984.

The previous prime is 374850383. The next prime is 374850451. The reversal of 374850420 is 24058473.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360261 + ... + 361299.

It is an arithmetic number, because the mean of its divisors is an integer number (12521600).

Almost surely, 2374850420 is an apocalyptic number.

374850420 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 374850420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601036800).

374850420 is an abundant number, since it is smaller than the sum of its proper divisors (827223180).

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

374850420 is a wasteful number, since it uses less digits than its factorization.

374850420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 374850420 is about 19361.0542068349. The cubic root of 374850420 is about 721.0288916511.

The spelling of 374850420 in words is "three hundred seventy-four million, eight hundred fifty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 859 1039 1718 2078 2577 3117 3436 4156 4295 5154 5195 6013 6234 7273 8590 10308 10390 12026 12468 12885 14546 15585 17180 18039 20780 21819 24052 25770 29092 30065 31170 36078 36365 43638 51540 60130 62340 72156 72730 87276 90195 109095 120260 145460 180390 218190 360780 436380 892501 1785002 2677503 3570004 4462505 5355006 6247507 8925010 10710012 12495014 13387515 17850020 18742521 24990028 26775030 31237535 37485042 53550060 62475070 74970084 93712605 124950140 187425210 374850420