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465348 = 2231319157
BaseRepresentation
bin1110001100111000100
3212122100010
41301213010
5104342343
613550220
73645462
oct1614704
9778303
10465348
11298694
121a5370
13133a70
14c1832
1592d33
hex719c4

465348 has 48 divisors (see below), whose sum is σ = 1238720. Its totient is φ = 134784.

The previous prime is 465337. The next prime is 465373. The reversal of 465348 is 843564.

465348 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4653482 = 433097522208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

465348 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, 2886 + ... + 3042.

2465348 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 465348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619360).

465348 is an abundant number, since it is smaller than the sum of its proper divisors (773372).

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

465348 is a wasteful number, since it uses less digits than its factorization.

465348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 194 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 465348 is about 682.1642031066. The cubic root of 465348 is about 77.4924307557.

The spelling of 465348 in words is "four hundred sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 157 228 247 314 471 494 628 741 942 988 1482 1884 2041 2964 2983 4082 5966 6123 8164 8949 11932 12246 17898 24492 35796 38779 77558 116337 155116 232674 465348