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352830 = 23519619
BaseRepresentation
bin1010110001000111110
3122220222210
41112020332
542242310
611321250
72666442
oct1261076
9586883
10352830
112210a5
12150226
13c479a
1492822
156e820
hex5623e

352830 has 32 divisors (see below), whose sum is σ = 892800. Its totient is φ = 88992.

The previous prime is 352819. The next prime is 352831. The reversal of 352830 is 38253.

It is a junction number, because it is equal to n+sod(n) for n = 352797 and 352806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352831) by changing a digit.

352830 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 15 ways as a sum of consecutive naturals, for example, 261 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2352830 is an apocalyptic number.

352830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 352830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

352830 is an abundant number, since it is smaller than the sum of its proper divisors (539970).

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

352830 is a wasteful number, since it uses less digits than its factorization.

352830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 352830 is about 593.9949494735. The cubic root of 352830 is about 70.6624191506.

The spelling of 352830 in words is "three hundred fifty-two thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 619 1238 1857 3095 3714 6190 9285 11761 18570 23522 35283 58805 70566 117610 176415 352830