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342124044400 = 24521987430453
BaseRepresentation
bin1001111101010000010…
…11101010000001110000
31012201002012202012101201
410332220023222001300
521101132223410100
6421100345340544
733501103252405
oct4765013520160
91181065665351
10342124044400
11122104116336
1256380797754
1326353c6a278
14127b78582ac
158d758ac36a
hex4fa82ea070

342124044400 has 60 divisors (see below), whose sum is σ = 822368592472. Its totient is φ = 136780427520.

The previous prime is 342124044391. The next prime is 342124044401. The reversal of 342124044400 is 4440421243.

It is a super-2 number, since 2×3421240444002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342124044401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579574 + ... + 1010026.

Almost surely, 2342124044400 is an apocalyptic number.

It is an amenable number.

342124044400 is an abundant number, since it is smaller than the sum of its proper divisors (480244548072).

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

342124044400 is a wasteful number, since it uses less digits than its factorization.

342124044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432458 (or 432447 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 342124044400 its reverse (4440421243), we get a palindrome (346564465643).

The spelling of 342124044400 in words is "three hundred forty-two billion, one hundred twenty-four million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 1987 3974 7948 9935 15896 19870 31792 39740 49675 79480 99350 158960 198700 397400 430453 794800 860906 1721812 2152265 3443624 4304530 6887248 8609060 10761325 17218120 21522650 34436240 43045300 86090600 172181200 855310111 1710620222 3421240444 4276550555 6842480888 8553101110 13684961776 17106202220 21382752775 34212404440 42765505550 68424808880 85531011100 171062022200 342124044400