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38343840 = 25351737127
BaseRepresentation
bin1001001001000…
…1010010100000
32200011001212020
42102101102200
534304000330
63445501440
7643626423
oct222212240
980131766
1038343840
111a70a327
1210a11880
137c36a82
1451419ba
153576210
hex24914a0

38343840 has 192 divisors, whose sum is σ = 132378624. Its totient is φ = 9289728.

The previous prime is 38343839. The next prime is 38343841. The reversal of 38343840 is 4834383.

It is an interprime number because it is at equal distance from previous prime (38343839) and next prime (38343841).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38343841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301857 + ... + 301983.

It is an arithmetic number, because the mean of its divisors is an integer number (689472).

Almost surely, 238343840 is an apocalyptic number.

38343840 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 38343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66189312).

38343840 is an abundant number, since it is smaller than the sum of its proper divisors (94034784).

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

38343840 is a wasteful number, since it uses less digits than its factorization.

38343840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38343840 is about 6192.2403054145. The cubic root of 38343840 is about 337.2085165069.

The spelling of 38343840 in words is "thirty-eight million, three hundred forty-three thousand, eight hundred forty".