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2034318468 = 2237137192591
BaseRepresentation
bin111100101000001…
…0011110010000100
312020202221002022110
41321100103302010
513131241142333
6533510301020
7101261264430
oct17120236204
95222832273
102034318468
11954357636
12489357770
13265601b50
1415426d9c0
15bd8e1063
hex79413c84

2034318468 has 96 divisors (see below), whose sum is σ = 5852528640. Its totient is φ = 535570560.

The previous prime is 2034318431. The next prime is 2034318491. The reversal of 2034318468 is 8648134302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 783853 + ... + 786443.

It is an arithmetic number, because the mean of its divisors is an integer number (60963840).

Almost surely, 22034318468 is an apocalyptic number.

2034318468 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034318468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926264320).

2034318468 is an abundant number, since it is smaller than the sum of its proper divisors (3818210172).

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

2034318468 is a wasteful number, since it uses less digits than its factorization.

2034318468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 2034318468 is about 45103.4196929678. The cubic root of 2034318468 is about 1267.0866461767.

The spelling of 2034318468 in words is "two billion, thirty-four million, three hundred eighteen thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 719 1092 1438 2157 2591 2876 4314 5033 5182 7773 8628 9347 10066 10364 15099 15546 18137 18694 20132 28041 30198 31092 33683 36274 37388 54411 56082 60396 65429 67366 72548 101049 108822 112164 130858 134732 196287 202098 217644 235781 261716 392574 404196 471562 707343 785148 943124 1414686 1862929 2829372 3725858 5588787 7451716 11177574 13040503 22355148 24218077 26081006 39121509 48436154 52162012 72654231 78243018 96872308 145308462 156486036 169526539 290616924 339053078 508579617 678106156 1017159234 2034318468