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239368416 = 25371073329
BaseRepresentation
bin11100100010001…
…11100011100000
3121200102011201220
432101013203200
5442234242131
635430255040
75634412050
oct1621074340
9550364656
10239368416
11113132041
12681b7480
133a78c521
1423b0d560
1516033e96
hexe4478e0

239368416 has 96 divisors (see below), whose sum is σ = 725034240. Its totient is φ = 67731456.

The previous prime is 239368397. The next prime is 239368417. The reversal of 239368416 is 614863932.

239368416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (186624) is a multiple of the sum of its prime factors (3456).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (239368417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70240 + ... + 73568.

It is an arithmetic number, because the mean of its divisors is an integer number (7552440).

Almost surely, 2239368416 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 239368416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362517120).

239368416 is an abundant number, since it is smaller than the sum of its proper divisors (485665824).

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

239368416 is a wasteful number, since it uses less digits than its factorization.

239368416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3448 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 239368416 is about 15471.5356703851. The cubic root of 239368416 is about 620.9008894290.

The spelling of 239368416 in words is "two hundred thirty-nine million, three hundred sixty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 2247 2568 2996 3329 3424 4494 5136 5992 6658 8988 9987 10272 11984 13316 17976 19974 23303 23968 26632 35952 39948 46606 53264 69909 71904 79896 93212 106528 139818 159792 186424 279636 319584 356203 372848 559272 712406 745696 1068609 1118544 1424812 2137218 2237088 2493421 2849624 4274436 4986842 5699248 7480263 8548872 9973684 11398496 14960526 17097744 19947368 29921052 34195488 39894736 59842104 79789472 119684208 239368416