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1034126568 = 23336617243
BaseRepresentation
bin111101101000111…
…000010011101000
32200001220001222000
4331220320103220
54104214022233
6250340531000
734424634156
oct7550702350
92601801860
101034126568
11490812662
1224a3b0a60
13136328517
149b4b23d6
1560bc2d13
hex3da384e8

1034126568 has 64 divisors (see below), whose sum is σ = 2877316800. Its totient is φ = 344139840.

The previous prime is 1034126567. The next prime is 1034126581. The reversal of 1034126568 is 8656214301.

It is a happy number.

1034126568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1034126567) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139155 + ... + 146397.

It is an arithmetic number, because the mean of its divisors is an integer number (44958075).

Almost surely, 21034126568 is an apocalyptic number.

1034126568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1034126568 is an abundant number, since it is smaller than the sum of its proper divisors (1843190232).

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

1034126568 is a wasteful number, since it uses less digits than its factorization.

1034126568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7919 (or 7909 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1034126568 is about 32157.8383601883. The cubic root of 1034126568 is about 1011.2485190636.

The spelling of 1034126568 in words is "one billion, thirty-four million, one hundred twenty-six thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 661 1322 1983 2644 3966 5288 5949 7243 7932 11898 14486 15864 17847 21729 23796 28972 35694 43458 47592 57944 65187 71388 86916 130374 142776 173832 195561 260748 391122 521496 782244 1564488 4787623 9575246 14362869 19150492 28725738 38300984 43088607 57451476 86177214 114902952 129265821 172354428 258531642 344708856 517063284 1034126568