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344450500 = 2253739437
BaseRepresentation
bin10100100001111…
…110010111000100
3220000010220020221
4110201332113010
51201134404000
654102434124
711351531602
oct2441762704
9800126227
10344450500
11167484839
1297432944
1356492284
1433a64872
152038e61a
hex1487e5c4

344450500 has 48 divisors (see below), whose sum is σ = 762665904. Its totient is φ = 135878400.

The previous prime is 344450489. The next prime is 344450521. The reversal of 344450500 is 5054443.

It can be written as a sum of positive squares in 8 ways, for example, as 89984196 + 254466304 = 9486^2 + 15952^2 .

It is a super-2 number, since 2×3444505002 = 237292293900500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31782 + ... + 41218.

It is an arithmetic number, because the mean of its divisors is an integer number (15888873).

Almost surely, 2344450500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 344450500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381332952).

344450500 is an abundant number, since it is smaller than the sum of its proper divisors (418215404).

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

344450500 is a wasteful number, since it uses less digits than its factorization.

344450500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9517 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The square root of 344450500 is about 18559.3776835324. The cubic root of 344450500 is about 700.9853470305.

The spelling of 344450500 in words is "three hundred forty-four million, four hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1460 1825 3650 7300 9125 9437 18250 18874 36500 37748 47185 94370 188740 235925 471850 688901 943700 1179625 1377802 2359250 2755604 3444505 4718500 6889010 13778020 17222525 34445050 68890100 86112625 172225250 344450500