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388146240 = 26325307439
BaseRepresentation
bin10111001000101…
…010010001000000
31000001100212112200
4113020222101000
51243331134430
6102303153200
712422121456
oct2710522100
91001325480
10388146240
1118a10a019
12a9ba5800
1362551041
143979a9d6
1524121460
hex1722a440

388146240 has 168 divisors, whose sum is σ = 1342461120. Its totient is φ = 102933504.

The previous prime is 388146203. The next prime is 388146259. The reversal of 388146240 is 42641883.

It is a super-2 number, since 2×3881462402 = 301315007252275200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 388146195 and 388146204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883941 + ... + 884379.

It is an arithmetic number, because the mean of its divisors is an integer number (7990840).

Almost surely, 2388146240 is an apocalyptic number.

388146240 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 388146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671230560).

388146240 is an abundant number, since it is smaller than the sum of its proper divisors (954314880).

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

388146240 is a wasteful number, since it uses less digits than its factorization.

388146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 388146240 is about 19701.4273594580. The cubic root of 388146240 is about 729.4549255642.

It can be divided in two parts, 38814 and 6240, that added together give a palindrome (45054).

The spelling of 388146240 in words is "three hundred eighty-eight million, one hundred forty-six thousand, two hundred forty".