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388022040 = 233257314967
BaseRepresentation
bin10111001000001…
…011111100011000
31000001010120011200
4113020023330120
51243313201130
6102300354200
712421063410
oct2710137430
91001116150
10388022040
1118a03477a
12a9b45960
1362509653
1439767640
15240e9760
hex1720bf18

388022040 has 192 divisors, whose sum is σ = 1488015360. Its totient is φ = 85812480.

The previous prime is 388022027. The next prime is 388022069. The reversal of 388022040 is 40220883.

It is a super-2 number, since 2×3880220402 = 301122207051523200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 388021995 and 388022013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75637 + ... + 80603.

It is an arithmetic number, because the mean of its divisors is an integer number (7750080).

Almost surely, 2388022040 is an apocalyptic number.

388022040 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 388022040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744007680).

388022040 is an abundant number, since it is smaller than the sum of its proper divisors (1099993320).

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

388022040 is a wasteful number, since it uses less digits than its factorization.

388022040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 388022040 is about 19698.2750513846. The cubic root of 388022040 is about 729.3771129965.

The spelling of 388022040 in words is "three hundred eighty-eight million, twenty-two thousand, forty".