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1034405768 = 231123134471
BaseRepresentation
bin111101101001111…
…100011110001000
32200002102020221202
4331221330132020
54104301441033
6250350523332
734430206154
oct7551743610
92602366852
101034405768
11490993400
1224a506548
131363c5626
149b546064
1560c2a8e8
hex3da7c788

1034405768 has 48 divisors (see below), whose sum is σ = 2200692480. Its totient is φ = 455004000.

The previous prime is 1034405753. The next prime is 1034405791. The reversal of 1034405768 is 8675044301.

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 11 ways as a sum of consecutive naturals, for example, 12773 + ... + 47243.

It is an arithmetic number, because the mean of its divisors is an integer number (45847760).

Almost surely, 21034405768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034405768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100346240).

1034405768 is an abundant number, since it is smaller than the sum of its proper divisors (1166286712).

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

1034405768 is a wasteful number, since it uses less digits than its factorization.

1034405768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34530 (or 34515 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 1034405768 is about 32162.1791550262. The cubic root of 1034405768 is about 1011.3395186213.

The spelling of 1034405768 in words is "one billion, thirty-four million, four hundred five thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 31 44 62 88 121 124 242 248 341 484 682 968 1364 2728 3751 7502 15004 30008 34471 68942 137884 275768 379181 758362 1068601 1516724 2137202 3033448 4170991 4274404 8341982 8548808 11754611 16683964 23509222 33367928 47018444 94036888 129300721 258601442 517202884 1034405768