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1035319068 = 2232715112719
BaseRepresentation
bin111101101101011…
…011011100011100
32200011010122202200
4331231123130130
54110020202233
6250422251500
734441031640
oct7555333434
92604118680
101035319068
114914575a3
1224a886b90
13136655244
149b702c20
1560d5b313
hex3db5b71c

1035319068 has 72 divisors (see below), whose sum is σ = 2994001920. Its totient is φ = 295500960.

The previous prime is 1035319067. The next prime is 1035319097. The reversal of 1035319068 is 8609135301.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035319067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379413 + ... + 382131.

It is an arithmetic number, because the mean of its divisors is an integer number (41583360).

Almost surely, 21035319068 is an apocalyptic number.

1035319068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1035319068 is an abundant number, since it is smaller than the sum of its proper divisors (1958682852).

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

1035319068 is a wasteful number, since it uses less digits than its factorization.

1035319068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1035319068 is about 32176.3743762407. The cubic root of 1035319068 is about 1011.6370758293.

The spelling of 1035319068 in words is "one billion, thirty-five million, three hundred nineteen thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1511 2719 3022 4533 5438 6044 8157 9066 10577 10876 13599 16314 18132 19033 21154 24471 27198 31731 32628 38066 42308 48942 54396 57099 63462 76132 95193 97884 114198 126924 171297 190386 228396 342594 380772 685188 4108409 8216818 12325227 16433636 24650454 28758863 36975681 49300908 57517726 73951362 86276589 115035452 147902724 172553178 258829767 345106356 517659534 1035319068