Search a number
-
+
38332368 = 2432312277
BaseRepresentation
bin1001001000111…
…0011111010000
32200010111010100
42102032133100
534303113433
63445332400
7643551114
oct222163720
980114110
1038332368
111a701748
1210a07100
137c31799
14513b744
153572b13
hex248e7d0

38332368 has 90 divisors (see below), whose sum is σ = 111249762. Its totient is φ = 12320640.

The previous prime is 38332351. The next prime is 38332379. The reversal of 38332368 is 86323383.

It can be written as a sum of positive squares in only one way, i.e., 27123264 + 11209104 = 5208^2 + 3348^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138246 + ... + 138522.

Almost surely, 238332368 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 38332368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55624881).

38332368 is an abundant number, since it is smaller than the sum of its proper divisors (72917394).

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

38332368 is a wasteful number, since it uses less digits than its factorization.

38332368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 313 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 38332368 is about 6191.3139154787. The cubic root of 38332368 is about 337.1748836212.

The spelling of 38332368 in words is "thirty-eight million, three hundred thirty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 277 279 372 496 554 558 744 831 961 1108 1116 1488 1662 1922 2216 2232 2493 2883 3324 3844 4432 4464 4986 5766 6648 7688 8587 8649 9972 11532 13296 15376 17174 17298 19944 23064 25761 34348 34596 39888 46128 51522 68696 69192 77283 103044 137392 138384 154566 206088 266197 309132 412176 532394 618264 798591 1064788 1236528 1597182 2129576 2395773 3194364 4259152 4791546 6388728 9583092 12777456 19166184 38332368