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4346964 = 2232120749
BaseRepresentation
bin10000100101010001010100
322011211220200
4100211101110
52103100324
6233100500
751643236
oct20452124
98154820
104346964
1124a9a36
121557730
13b9278b
14812256
155acec9
hex425454

4346964 has 18 divisors (see below), whose sum is σ = 10988250. Its totient is φ = 1448976.

The previous prime is 4346941. The next prime is 4346981. The reversal of 4346964 is 4696434.

It can be written as a sum of positive squares in only one way, i.e., 3459600 + 887364 = 1860^2 + 942^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 120749 = 4346964 / (4 + 3 + 4 + 6 + 9 + 6 + 4).

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

It is a d-powerful number, because it can be written as 42 + 33 + 44 + 66 + 95 + 66 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 60339 + ... + 60410.

Almost surely, 24346964 is an apocalyptic number.

It is an amenable number.

4346964 is an abundant number, since it is smaller than the sum of its proper divisors (6641286).

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

4346964 is a wasteful number, since it uses less digits than its factorization.

4346964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120759 (or 120754 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4346964 is about 2084.9374091325. The cubic root of 4346964 is about 163.2032042335.

The spelling of 4346964 in words is "four million, three hundred forty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 120749 241498 362247 482996 724494 1086741 1448988 2173482 4346964