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46344 = 2331931
BaseRepresentation
bin1011010100001000
32100120110
423110020
52440334
6554320
7252054
oct132410
970513
1046344
1131901
12229a0
131812c
1412c64
15dae9
hexb508

46344 has 16 divisors (see below), whose sum is σ = 115920. Its totient is φ = 15440.

The previous prime is 46337. The next prime is 46349. The reversal of 46344 is 44364.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 46344.

It is not an unprimeable number, because it can be changed into a prime (46349) by changing a digit.

46344 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 3 ways as a sum of consecutive naturals, for example, 942 + ... + 989.

It is an arithmetic number, because the mean of its divisors is an integer number (7245).

246344 is an apocalyptic number.

It is an amenable number.

46344 is an abundant number, since it is smaller than the sum of its proper divisors (69576).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57960).

46344 is a wasteful number, since it uses less digits than its factorization.

46344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1936 counting only the distinct ones).

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

The square root of 46344 is about 215.2765663048. The cubic root of 46344 is about 35.9195735420.

The spelling of 46344 in words is "forty-six thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 1931 3862 5793 7724 11586 15448 23172 46344