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34244103424 = 28974913721
BaseRepresentation
bin11111111001000110…
…111000110100000000
310021101112022200202211
4133321012320310000
51030112442302144
623422001551504
72321413035136
oct377106706400
9107345280684
1034244103424
11135829a3823
126778345594
1332c97432bb
14192bd81756
15d5651b034
hex7f91b8d00

34244103424 has 36 divisors (see below), whose sum is σ = 68366434500. Its totient is φ = 17119047680.

The previous prime is 34244103401. The next prime is 34244103431. The reversal of 34244103424 is 42430144243.

It can be written as a sum of positive squares in 2 ways, for example, as 6009350400 + 28234753024 = 77520^2 + 168032^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2488884 + ... + 2502604.

It is an arithmetic number, because the mean of its divisors is an integer number (1899067625).

Almost surely, 234244103424 is an apocalyptic number.

It is an amenable number.

34244103424 is a deficient number, since it is larger than the sum of its proper divisors (34122331076).

34244103424 is an equidigital number, since it uses as much as digits as its factorization.

34244103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23486 (or 23472 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 34244103424 its reverse (42430144243), we get a palindrome (76674247667).

The spelling of 34244103424 in words is "thirty-four billion, two hundred forty-four million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 9749 13721 19498 27442 38996 54884 77992 109768 155984 219536 311968 439072 623936 878144 1247872 1756288 2495744 3512576 133766029 267532058 535064116 1070128232 2140256464 4280512928 8561025856 17122051712 34244103424