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464240 = 2457829
BaseRepresentation
bin1110001010101110000
3212120211002
41301111300
5104323430
613541132
73642320
oct1612560
9776732
10464240
11297877
121a47a8
131333ca
14c1280
1592845
hex71570

464240 has 40 divisors (see below), whose sum is σ = 1235040. Its totient is φ = 158976.

The previous prime is 464237. The next prime is 464251. The reversal of 464240 is 42464.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146 + ... + 974.

It is an arithmetic number, because the mean of its divisors is an integer number (30876).

2464240 is an apocalyptic number.

464240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617520).

464240 is an abundant number, since it is smaller than the sum of its proper divisors (770800).

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

464240 is a wasteful number, since it uses less digits than its factorization.

464240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 464240 is about 681.3515979287. The cubic root of 464240 is about 77.4308783623.

The spelling of 464240 in words is "four hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 829 1658 3316 4145 5803 6632 8290 11606 13264 16580 23212 29015 33160 46424 58030 66320 92848 116060 232120 464240