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38668336 = 2471723883
BaseRepresentation
bin1001001110000…
…0100000110000
32200202112222121
42103200200300
534344341321
63500444024
7646450450
oct223404060
980675877
1038668336
111a911103
1210b49614
13801b695
1451c7d60
1535dc441
hex24e0830

38668336 has 80 divisors (see below), whose sum is σ = 94708224. Its totient is φ = 14902272.

The previous prime is 38668321. The next prime is 38668351. The reversal of 38668336 is 63386683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38668321) and next prime (38668351).

It is a junction number, because it is equal to n+sod(n) for n = 38668292 and 38668301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43351 + ... + 44233.

Almost surely, 238668336 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 38668336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

38668336 is an abundant number, since it is smaller than the sum of its proper divisors (56039888).

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

38668336 is a wasteful number, since it uses less digits than its factorization.

38668336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 932 counting only the distinct ones).

The product of its digits is 373248, while the sum is 43.

The square root of 38668336 is about 6218.3869290999. The cubic root of 38668336 is about 338.1570876782.

The spelling of 38668336 in words is "thirty-eight million, six hundred sixty-eight thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 17 23 28 34 46 56 68 92 112 119 136 161 184 238 272 322 368 391 476 644 782 883 952 1288 1564 1766 1904 2576 2737 3128 3532 5474 6181 6256 7064 10948 12362 14128 15011 20309 21896 24724 30022 40618 43792 49448 60044 81236 98896 105077 120088 142163 162472 210154 240176 284326 324944 345253 420308 568652 690506 840616 1137304 1381012 1681232 2274608 2416771 2762024 4833542 5524048 9667084 19334168 38668336