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335172 = 223173153
BaseRepresentation
bin1010001110101000100
3122000202210
41101311010
541211142
611103420
72564115
oct1216504
9560683
10335172
11209902
12141b70
13b9736
148a20c
156949c
hex51d44

335172 has 48 divisors (see below), whose sum is σ = 870912. Its totient is φ = 99840.

The previous prime is 335171. The next prime is 335173. The reversal of 335172 is 271533.

It is a happy number.

335172 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (335171) and next prime (335173).

It is a super-2 number, since 2×3351722 = 224680539168, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 335172.

It is not an unprimeable number, because it can be changed into a prime (335171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6298 + ... + 6350.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2335172 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 335172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435456).

335172 is an abundant number, since it is smaller than the sum of its proper divisors (535740).

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

335172 is a wasteful number, since it uses less digits than its factorization.

335172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its digits is 630, while the sum is 21.

The square root of 335172 is about 578.9404114415. The cubic root of 335172 is about 69.4633797728.

The spelling of 335172 in words is "three hundred thirty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 31 34 51 53 62 68 93 102 106 124 159 186 204 212 318 372 527 636 901 1054 1581 1643 1802 2108 2703 3162 3286 3604 4929 5406 6324 6572 9858 10812 19716 27931 55862 83793 111724 167586 335172