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388479240 = 23355172351
BaseRepresentation
bin10111001001111…
…011100100001000
31000001222210100000
4113021323210020
51243422313430
6102314243000
712425006352
oct2711734410
91001883300
10388479240
1118a317226
12aa126460
1362639796
14398460d2
1524189e60
hex1727b908

388479240 has 192 divisors, whose sum is σ = 1386927360. Its totient is φ = 97459200.

The previous prime is 388479233. The next prime is 388479251. The reversal of 388479240 is 42974883.

It is a super-3 number, since 3×3884792403 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 164065 + ... + 166415.

It is an arithmetic number, because the mean of its divisors is an integer number (7223580).

Almost surely, 2388479240 is an apocalyptic number.

388479240 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 388479240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693463680).

388479240 is an abundant number, since it is smaller than the sum of its proper divisors (998448120).

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

388479240 is a wasteful number, since it uses less digits than its factorization.

388479240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2394 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 388479240 is about 19709.8767119432. The cubic root of 388479240 is about 729.6634715817.

The spelling of 388479240 in words is "three hundred eighty-eight million, four hundred seventy-nine thousand, two hundred forty".