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1834078036 = 22721092932
BaseRepresentation
bin110110101010001…
…1100111101010100
311201211010211002011
41231110130331110
512224010444121
6501554354004
763310256200
oct15524347524
94654124064
101834078036
1186131aa7a
1243228b904
13232c9229b
14135827b00
15ab03a7e1
hex6d51cf54

1834078036 has 54 divisors (see below), whose sum is σ = 3780816270. Its totient is φ = 776164032.

The previous prime is 1834078021. The next prime is 1834078063. The reversal of 1834078036 is 6308704381.

It can be written as a sum of positive squares in 3 ways, for example, as 1372257936 + 461820100 = 37044^2 + 21490^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1834078036.

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 17 ways as a sum of consecutive naturals, for example, 6259506 + ... + 6259798.

Almost surely, 21834078036 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 1834078036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890408135).

1834078036 is an abundant number, since it is smaller than the sum of its proper divisors (1946738234).

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

1834078036 is a wasteful number, since it uses less digits than its factorization.

1834078036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 1834078036 is about 42826.1372995511. The cubic root of 1834078036 is about 1224.0691050237.

The spelling of 1834078036 in words is "one billion, eight hundred thirty-four million, seventy-eight thousand, thirty-six".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 293 436 586 763 1172 1526 2051 3052 4102 5341 8204 10682 14357 21364 28714 31937 57428 63874 85849 127748 171698 223559 343396 447118 600943 894236 1201886 1564913 2403772 3129826 4206601 6259652 8413202 9357541 16826404 18715082 37430164 65502787 131005574 262011148 458519509 917039018 1834078036