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437944340 = 225109719961
BaseRepresentation
bin11010000110101…
…000000000010100
31010112001212200202
4122012220000110
51344103204330
6111242400032
713565315441
oct3206500024
91115055622
10437944340
11205232079
12102800018
136c968582
14422409c8
15286ab445
hex1a1a8014

437944340 has 24 divisors (see below), whose sum is σ = 920567592. Its totient is φ = 175009280.

The previous prime is 437944289. The next prime is 437944363. The reversal of 437944340 is 43449734.

It can be written as a sum of positive squares in 4 ways, for example, as 89151364 + 348792976 = 9442^2 + 18676^2 .

It is a junction number, because it is equal to n+sod(n) for n = 437944294 and 437944303.

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, 11960 + ... + 31920.

It is an arithmetic number, because the mean of its divisors is an integer number (38356983).

Almost surely, 2437944340 is an apocalyptic number.

It is an amenable number.

437944340 is an abundant number, since it is smaller than the sum of its proper divisors (482623252).

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

437944340 is a wasteful number, since it uses less digits than its factorization.

437944340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21067 (or 21065 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 38.

The square root of 437944340 is about 20927.1197253707. The cubic root of 437944340 is about 759.4041613328.

The spelling of 437944340 in words is "four hundred thirty-seven million, nine hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1097 2194 4388 5485 10970 19961 21940 39922 79844 99805 199610 399220 21897217 43794434 87588868 109486085 218972170 437944340