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1034001312 = 25310770847
BaseRepresentation
bin111101101000011…
…001101110100000
32200001122201010220
4331220121232200
54104201020222
6250334123040
734423603041
oct7550315640
92601581126
101034001312
11490737543
1224a350480
131362b34c6
149b47c8c8
1560b9ab5c
hex3da19ba0

1034001312 has 24 divisors (see below), whose sum is σ = 2714253696. Its totient is φ = 344667072.

The previous prime is 1034001281. The next prime is 1034001323. The reversal of 1034001312 is 2131004301.

1034001312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 1034001291 and 1034001300.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5385328 + ... + 5385519.

It is an arithmetic number, because the mean of its divisors is an integer number (113093904).

Almost surely, 21034001312 is an apocalyptic number.

1034001312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1034001312 is an abundant number, since it is smaller than the sum of its proper divisors (1680252384).

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

1034001312 is a wasteful number, since it uses less digits than its factorization.

1034001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10770860 (or 10770852 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1034001312 is about 32155.8907822501. The cubic root of 1034001312 is about 1011.2076890973.

Adding to 1034001312 its reverse (2131004301), we get a palindrome (3165005613).

The spelling of 1034001312 in words is "one billion, thirty-four million, one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10770847 21541694 32312541 43083388 64625082 86166776 129250164 172333552 258500328 344667104 517000656 1034001312