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1231342400 = 2652769589
BaseRepresentation
bin100100101100100…
…1100101101000000
310011210222200020002
41021121030231000
510010210424100
6322103535132
742341144351
oct11131145500
93153880202
101231342400
11582073852
122a445a4a8
13168149492
14b976bd28
157317c2d5
hex4964cb40

1231342400 has 42 divisors (see below), whose sum is σ = 3029875830. Its totient is φ = 492536320.

The previous prime is 1231342397. The next prime is 1231342403. The reversal of 1231342400 is 42431321.

It is an interprime number because it is at equal distance from previous prime (1231342397) and next prime (1231342403).

It can be written as a sum of positive squares in 3 ways, for example, as 181063936 + 1050278464 = 13456^2 + 32408^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231342403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 383195 + ... + 386394.

Almost surely, 21231342400 is an apocalyptic number.

1231342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231342400 is an abundant number, since it is smaller than the sum of its proper divisors (1798533430).

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

1231342400 is an equidigital number, since it uses as much as digits as its factorization.

1231342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769611 (or 769596 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1231342400 is about 35090.4887398281. The cubic root of 1231342400 is about 1071.8309119215.

Adding to 1231342400 its reverse (42431321), we get a palindrome (1273773721).

The spelling of 1231342400 in words is "one billion, two hundred thirty-one million, three hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 769589 1539178 3078356 3847945 6156712 7695890 12313424 15391780 19239725 24626848 30783560 38479450 49253696 61567120 76958900 123134240 153917800 246268480 307835600 615671200 1231342400