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1344640200 = 233522241067
BaseRepresentation
bin101000000100101…
…1001010011001000
310110201011210120220
41100021121103020
510223211441300
6341232150040
745215152551
oct12011312310
93421153526
101344640200
116300180a2
12316398320
131857678b7
14ca821328
157d0abda0
hex502594c8

1344640200 has 48 divisors (see below), whose sum is σ = 4168386480. Its totient is φ = 358570560.

The previous prime is 1344640181. The next prime is 1344640201. The reversal of 1344640200 is 20464431.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1344640201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1119934 + ... + 1121133.

It is an arithmetic number, because the mean of its divisors is an integer number (86841385).

Almost surely, 21344640200 is an apocalyptic number.

1344640200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344640200 is an abundant number, since it is smaller than the sum of its proper divisors (2823746280).

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

1344640200 is a wasteful number, since it uses less digits than its factorization.

1344640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241086 (or 2241077 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1344640200 is about 36669.3359634450. The cubic root of 1344640200 is about 1103.7448672672.

The spelling of 1344640200 in words is "one billion, three hundred forty-four million, six hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2241067 4482134 6723201 8964268 11205335 13446402 17928536 22410670 26892804 33616005 44821340 53785608 56026675 67232010 89642680 112053350 134464020 168080025 224106700 268928040 336160050 448213400 672320100 1344640200