Search a number
-
+
368397900 = 2232521323372
BaseRepresentation
bin10101111101010…
…100111001001100
3221200012112220200
4111331110321030
51223302213100
6100320013500
712062221233
oct2575247114
9850175820
10368397900
11179a50882
12a3461290
135b428330
1436cd9b1a
152251ee00
hex15f54e4c

368397900 has 324 divisors, whose sum is σ = 1333633392. Its totient is φ = 84395520.

The previous prime is 368397857. The next prime is 368397941. The reversal of 368397900 is 9793863.

It is a happy number.

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 107 ways as a sum of consecutive naturals, for example, 9956682 + ... + 9956718.

Almost surely, 2368397900 is an apocalyptic number.

368397900 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 368397900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666816696).

368397900 is an abundant number, since it is smaller than the sum of its proper divisors (965235492).

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

368397900 is a wasteful number, since it uses less digits than its factorization.

368397900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 368397900 is about 19193.6942770275. The cubic root of 368397900 is about 716.8677592054.

The spelling of 368397900 in words is "three hundred sixty-eight million, three hundred ninety-seven thousand, nine hundred".