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464340 = 223571109
BaseRepresentation
bin1110001010111010100
3212120221210
41301113110
5104324330
613541420
73642522
oct1612724
9776853
10464340
11297958
121a4870
13133476
14c1312
15928b0
hex715d4

464340 has 48 divisors (see below), whose sum is σ = 1330560. Its totient is φ = 120960.

The previous prime is 464327. The next prime is 464351. The reversal of 464340 is 43464.

It is a super-2 number, since 2×4643402 = 431223271200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

464340 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, 4206 + ... + 4314.

It is an arithmetic number, because the mean of its divisors is an integer number (27720).

2464340 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 464340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280).

464340 is an abundant number, since it is smaller than the sum of its proper divisors (866220).

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

464340 is a wasteful number, since it uses less digits than its factorization.

464340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 464340 is about 681.4249775287. The cubic root of 464340 is about 77.4364376506.

The spelling of 464340 in words is "four hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 109 142 213 218 284 327 355 426 436 545 654 710 852 1065 1090 1308 1420 1635 2130 2180 3270 4260 6540 7739 15478 23217 30956 38695 46434 77390 92868 116085 154780 232170 464340