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368482140 = 22325131759157
BaseRepresentation
bin10101111101101…
…001011101011100
3221200100211110200
4111331221131130
51223312412030
6100321503500
712063021645
oct2575513534
9850324420
10368482140
11179aa90a4
12a34a1b90
135b457790
1436d1c6cc
1522539d60
hex15f6975c

368482140 has 288 divisors, whose sum is σ = 1304372160. Its totient is φ = 83386368.

The previous prime is 368482139. The next prime is 368482141. The reversal of 368482140 is 41284863.

368482140 is a `hidden beast` number, since 36 + 8 + 482 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (368482139) and next prime (368482141).

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 = 368482095 and 368482104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368482141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2346942 + ... + 2347098.

It is an arithmetic number, because the mean of its divisors is an integer number (4529070).

Almost surely, 2368482140 is an apocalyptic number.

368482140 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 368482140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652186080).

368482140 is an abundant number, since it is smaller than the sum of its proper divisors (935890020).

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

368482140 is a wasteful number, since it uses less digits than its factorization.

368482140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 256 counting only the distinct ones).

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

The square root of 368482140 is about 19195.8886223066. Note that the first 3 decimals coincide. The cubic root of 368482140 is about 716.9223960873.

The spelling of 368482140 in words is "three hundred sixty-eight million, four hundred eighty-two thousand, one hundred forty".