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1045016334 = 232293076521
BaseRepresentation
bin111110010010011…
…010111100001110
32200211101022220200
4332102122330032
54120011010314
6251410154330
734616330565
oct7622327416
92624338820
101045016334
1149698026a
12251b829a6
1313866c07b
149cb08bdc
1561b24709
hex3e49af0e

1045016334 has 48 divisors (see below), whose sum is σ = 2350267920. Its totient is φ = 335180160.

The previous prime is 1045016303. The next prime is 1045016407. The reversal of 1045016334 is 4336105401.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1045016298 and 1045016307.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 156994 + ... + 163514.

It is an arithmetic number, because the mean of its divisors is an integer number (48963915).

Almost surely, 21045016334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045016334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175133960).

1045016334 is an abundant number, since it is smaller than the sum of its proper divisors (1305251586).

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

1045016334 is a wasteful number, since it uses less digits than its factorization.

1045016334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6865 (or 6862 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1045016334 is about 32326.7123908386. The cubic root of 1045016334 is about 1014.7857488197.

The spelling of 1045016334 in words is "one billion, forty-five million, sixteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 307 522 614 921 1842 2763 5526 6521 8903 13042 17806 19563 26709 39126 53418 58689 80127 117378 160254 189109 378218 567327 1134654 1701981 2001947 3403962 4003894 6005841 12011682 18017523 36035046 58056463 116112926 174169389 348338778 522508167 1045016334