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344407380 = 223541191733
BaseRepresentation
bin10100100001110…
…011110101010100
3220000001201002220
4110201303311110
51201132014010
654101502340
711351262102
oct2441636524
9800051086
10344407380
111674553a9
12974119b0
1356478765
1433a52c72
1520381970
hex14873d54

344407380 has 96 divisors (see below), whose sum is σ = 994387968. Its totient is φ = 89011200.

The previous prime is 344407379. The next prime is 344407381. The reversal of 344407380 is 83704443.

It is an interprime number because it is at equal distance from previous prime (344407379) and next prime (344407381).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344407381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469494 + ... + 470226.

It is an arithmetic number, because the mean of its divisors is an integer number (10358208).

Almost surely, 2344407380 is an apocalyptic number.

344407380 is a gapful number since it is divisible by the number (30) 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 344407380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497193984).

344407380 is an abundant number, since it is smaller than the sum of its proper divisors (649980588).

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

344407380 is a wasteful number, since it uses less digits than its factorization.

344407380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 344407380 is about 18558.2159702920. The cubic root of 344407380 is about 700.9560948840.

The spelling of 344407380 in words is "three hundred forty-four million, four hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 191 205 246 382 410 492 573 615 733 764 820 955 1146 1230 1466 1910 2199 2292 2460 2865 2932 3665 3820 4398 5730 7330 7831 8796 10995 11460 14660 15662 21990 23493 30053 31324 39155 43980 46986 60106 78310 90159 93972 117465 120212 140003 150265 156620 180318 234930 280006 300530 360636 420009 450795 469860 560012 601060 700015 840018 901590 1400030 1680036 1803180 2100045 2800060 4200090 5740123 8400180 11480246 17220369 22960492 28700615 34440738 57401230 68881476 86101845 114802460 172203690 344407380