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3442051590 = 2351931119417
BaseRepresentation
bin1100110100101001…
…1000101000000110
322212212211100010020
43031022120220012
524022131122330
61325315040010
7151203645555
oct31512305006
98785740106
103442051590
111506a4833a
128008a0006
1342b15a423
142491d5d9c
151522b2210
hexcd298a06

3442051590 has 64 divisors (see below), whose sum is σ = 8724119040. Its totient is φ = 866730240.

The previous prime is 3442051589. The next prime is 3442051703. The reversal of 3442051590 is 951502443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167562 + ... + 186978.

It is an arithmetic number, because the mean of its divisors is an integer number (136314360).

Almost surely, 23442051590 is an apocalyptic number.

3442051590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3442051590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362059520).

3442051590 is an abundant number, since it is smaller than the sum of its proper divisors (5282067450).

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

3442051590 is a wasteful number, since it uses less digits than its factorization.

3442051590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19757.

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 3442051590 is about 58669.0002471493. Note that the first 3 decimals coincide. The cubic root of 3442051590 is about 1509.8685016257.

The spelling of 3442051590 in words is "three billion, four hundred forty-two million, fifty-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 311 570 622 933 1555 1866 3110 4665 5909 9330 11818 17727 19417 29545 35454 38834 58251 59090 88635 97085 116502 177270 194170 291255 368923 582510 737846 1106769 1844615 2213538 3689230 5533845 6038687 11067690 12077374 18116061 30193435 36232122 60386870 90580305 114735053 181160610 229470106 344205159 573675265 688410318 1147350530 1721025795 3442051590