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38734440 = 2335833889
BaseRepresentation
bin1001001111000…
…0101001101000
32200212220122220
42103300221220
534404000230
63502114040
7650144253
oct223605150
980786586
1038734440
111a956838
1210b7b920
1380427b4
14520409a
153601d10
hex24f0a68

38734440 has 64 divisors (see below), whose sum is σ = 117633600. Its totient is φ = 10202112.

The previous prime is 38734433. The next prime is 38734441. The reversal of 38734440 is 4443783.

It is a super-2 number, since 2×387344402 = 3000713684227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38734441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8016 + ... + 11904.

It is an arithmetic number, because the mean of its divisors is an integer number (1838025).

Almost surely, 238734440 is an apocalyptic number.

38734440 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 38734440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58816800).

38734440 is an abundant number, since it is smaller than the sum of its proper divisors (78899160).

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

38734440 is a wasteful number, since it uses less digits than its factorization.

38734440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 38734440 is about 6223.6998642287. The cubic root of 38734440 is about 338.3496725563.

The spelling of 38734440 in words is "thirty-eight million, seven hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 3889 4980 7778 9960 11667 15556 19445 23334 31112 38890 46668 58335 77780 93336 116670 155560 233340 322787 466680 645574 968361 1291148 1613935 1936722 2582296 3227870 3873444 4841805 6455740 7746888 9683610 12911480 19367220 38734440