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352820 = 225132359
BaseRepresentation
bin1010110001000110100
3122220222102
41112020310
542242240
611321232
72666426
oct1261064
9586872
10352820
11221096
12150218
13c4790
1492816
156e815
hex56234

352820 has 48 divisors (see below), whose sum is σ = 846720. Its totient is φ = 122496.

The previous prime is 352819. The next prime is 352831. The reversal of 352820 is 28253.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 352792 and 352801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2352820 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 352820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360).

352820 is an abundant number, since it is smaller than the sum of its proper divisors (493900).

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

352820 is a wasteful number, since it uses less digits than its factorization.

352820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 352820 is about 593.9865318338. The cubic root of 352820 is about 70.6617515667.

The spelling of 352820 in words is "three hundred fifty-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 59 65 92 115 118 130 230 236 260 295 299 460 590 598 767 1180 1196 1357 1495 1534 2714 2990 3068 3835 5428 5980 6785 7670 13570 15340 17641 27140 35282 70564 88205 176410 352820