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1342231800 = 2335271323161
BaseRepresentation
bin101000000000000…
…1101010011111000
310110112122102212220
41100000031103320
510222102404200
6341104404040
745155532150
oct12000152370
93415572786
101342231800
11629722688
12315616620
13185103600
14ca395760
157cc834a0
hex5000d4f8

1342231800 has 576 divisors, whose sum is σ = 5402511360. Its totient is φ = 269568000.

The previous prime is 1342231757. The next prime is 1342231819. The reversal of 1342231800 is 81322431.

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 22003770 + ... + 22003830.

It is an arithmetic number, because the mean of its divisors is an integer number (9379360).

Almost surely, 21342231800 is an apocalyptic number.

1342231800 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 1342231800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2701255680).

1342231800 is an abundant number, since it is smaller than the sum of its proper divisors (4060279560).

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

1342231800 is a wasteful number, since it uses less digits than its factorization.

1342231800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1342231800 is about 36636.4818179912. The cubic root of 1342231800 is about 1103.0854968774.

The spelling of 1342231800 in words is "one billion, three hundred forty-two million, two hundred thirty-one thousand, eight hundred".