Search a number
-
+
375632068 = 227176171279
BaseRepresentation
bin10110011000111…
…011000011000100
3222011211002022211
4112120323003010
51232130211233
6101135033204
712210551140
oct2630730304
9864732284
10375632068
11183041a29
12a596b804
135ca8bcc6
1437c60220
1522e9d5cd
hex1663b0c4

375632068 has 48 divisors (see below), whose sum is σ = 797368320. Its totient is φ = 151151616.

The previous prime is 375632063. The next prime is 375632069. The reversal of 375632068 is 860236573.

It is a self number, because there is not a number n which added to its sum of digits gives 375632068.

It is not an unprimeable number, because it can be changed into a prime (375632063) 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 15 ways as a sum of consecutive naturals, for example, 293053 + ... + 294331.

It is an arithmetic number, because the mean of its divisors is an integer number (16611840).

Almost surely, 2375632068 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 375632068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398684160).

375632068 is an abundant number, since it is smaller than the sum of its proper divisors (421736252).

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

375632068 is a wasteful number, since it uses less digits than its factorization.

375632068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 375632068 is about 19381.2297855425. The cubic root of 375632068 is about 721.5297132021.

The spelling of 375632068 in words is "three hundred seventy-five million, six hundred thirty-two thousand, sixty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 476 617 1234 1279 2468 2558 4319 5116 8638 8953 10489 17276 17906 20978 21743 35812 41956 43486 73423 86972 146846 152201 293692 304402 608804 789143 1578286 3156572 5524001 11048002 13415431 22096004 26830862 53661724 93908017 187816034 375632068