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393880 = 23543229
BaseRepresentation
bin1100000001010011000
3202000022011
41200022120
5100101010
612235304
73230224
oct1401230
9660264
10393880
11249a23
1216bb34
1310a386
14a3784
157ba8a
hex60298

393880 has 32 divisors (see below), whose sum is σ = 910800. Its totient is φ = 153216.

The previous prime is 393871. The next prime is 393901. The reversal of 393880 is 88393.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

393880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1606 + ... + 1834.

2393880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455400).

393880 is an abundant number, since it is smaller than the sum of its proper divisors (516920).

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

393880 is a wasteful number, since it uses less digits than its factorization.

393880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 393880 is about 627.5985978314. The cubic root of 393880 is about 73.3029258690.

The spelling of 393880 in words is "three hundred ninety-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 229 344 430 458 860 916 1145 1720 1832 2290 4580 9160 9847 19694 39388 49235 78776 98470 196940 393880