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38343712 = 2511971123
BaseRepresentation
bin1001001001000…
…1010000100000
32200011001200111
42102101100200
534303444322
63445501104
7643626151
oct222212040
980131614
1038343712
111a70a220
1210a11794
137c369b4
145141928
153576177
hex2491420

38343712 has 48 divisors (see below), whose sum is σ = 83274912. Its totient is φ = 17233920.

The previous prime is 38343709. The next prime is 38343719. The reversal of 38343712 is 21734383.

It is not an unprimeable number, because it can be changed into a prime (38343719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33583 + ... + 34705.

It is an arithmetic number, because the mean of its divisors is an integer number (1734894).

Almost surely, 238343712 is an apocalyptic number.

38343712 is a gapful number since it is divisible by the number (32) 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 38343712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41637456).

38343712 is an abundant number, since it is smaller than the sum of its proper divisors (44931200).

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

38343712 is a wasteful number, since it uses less digits than its factorization.

38343712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its digits is 12096, while the sum is 31.

The square root of 38343712 is about 6192.2299698897. The cubic root of 38343712 is about 337.2081412816.

The spelling of 38343712 in words is "thirty-eight million, three hundred forty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 388 776 1067 1123 1552 2134 2246 3104 4268 4492 8536 8984 12353 17072 17968 24706 34144 35936 49412 98824 108931 197648 217862 395296 435724 871448 1198241 1742896 2396482 3485792 4792964 9585928 19171856 38343712