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1344842500 = 2254737369
BaseRepresentation
bin101000000101000…
…1010101100000100
310110201120002002111
41100022022230010
510223234430000
6341240350404
745216654421
oct12012125404
93421502074
101344842500
11630146091
12316475404
131858089c1
14ca874d48
157d0ebcba
hex5028ab04

1344842500 has 60 divisors (see below), whose sum is σ = 2981592460. Its totient is φ = 530496000.

The previous prime is 1344842461. The next prime is 1344842509. The reversal of 1344842500 is 52484431.

It can be written as a sum of positive squares in 10 ways, for example, as 668946496 + 675896004 = 25864^2 + 25998^2 .

It is not an unprimeable number, because it can be changed into a prime (1344842509) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 178816 + ... + 186184.

Almost surely, 21344842500 is an apocalyptic number.

1344842500 is a gapful number since it is divisible by the number (10) 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 1344842500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490796230).

1344842500 is an abundant number, since it is smaller than the sum of its proper divisors (1636749960).

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

1344842500 is an equidigital number, since it uses as much as digits as its factorization.

1344842500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7466 (or 7449 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 1344842500 is about 36672.0942952540. The cubic root of 1344842500 is about 1103.8002169907.

The spelling of 1344842500 in words is "one billion, three hundred forty-four million, eight hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 625 730 1250 1460 1825 2500 3650 7300 7369 9125 14738 18250 29476 36500 36845 45625 73690 91250 147380 182500 184225 368450 537937 736900 921125 1075874 1842250 2151748 2689685 3684500 4605625 5379370 9211250 10758740 13448425 18422500 26896850 53793700 67242125 134484250 268968500 336210625 672421250 1344842500