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444474340 = 22537600641
BaseRepresentation
bin11010011111100…
…010001111100100
31010222100122011121
4122133202033210
51402241134330
6112034343324
714004653362
oct3237421744
91128318147
10444474340
11208992172
12104a2ab44
137111388b
1443060632
152904b17a
hex1a7e23e4

444474340 has 24 divisors (see below), whose sum is σ = 958624632. Its totient is φ = 172984320.

The previous prime is 444474337. The next prime is 444474343. The reversal of 444474340 is 43474444.

It is an interprime number because it is at equal distance from previous prime (444474337) and next prime (444474343).

It can be written as a sum of positive squares in 4 ways, for example, as 288524196 + 155950144 = 16986^2 + 12488^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 444474296 and 444474305.

It is not an unprimeable number, because it can be changed into a prime (444474343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 299581 + ... + 301060.

It is an arithmetic number, because the mean of its divisors is an integer number (39942693).

Almost surely, 2444474340 is an apocalyptic number.

It is an amenable number.

444474340 is an abundant number, since it is smaller than the sum of its proper divisors (514150292).

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

444474340 is a wasteful number, since it uses less digits than its factorization.

444474340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600687 (or 600685 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 34.

The square root of 444474340 is about 21082.5600912223. The cubic root of 444474340 is about 763.1599389194.

The spelling of 444474340 in words is "four hundred forty-four million, four hundred seventy-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 600641 1201282 2402564 3003205 6006410 12012820 22223717 44447434 88894868 111118585 222237170 444474340