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2034011304 = 2333132113433
BaseRepresentation
bin111100100111100…
…1000110010101000
312020202100110222000
41321033020302220
513131201330204
6533455531000
7101255545053
oct17117106250
95222313860
102034011304
11954167886
12489229a60
132655250b0
141541cda9a
15bd880039
hex793c8ca8

2034011304 has 128 divisors (see below), whose sum is σ = 6115267200. Its totient is φ = 622702080.

The previous prime is 2034011303. The next prime is 2034011347. The reversal of 2034011304 is 4031104302.

2034011304 is a `hidden beast` number, since 20 + 340 + 1 + 1 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2034011303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590772 + ... + 594204.

It is an arithmetic number, because the mean of its divisors is an integer number (47775525).

Almost surely, 22034011304 is an apocalyptic number.

2034011304 is a gapful number since it is divisible by the number (24) 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 2034011304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3057633600).

2034011304 is an abundant number, since it is smaller than the sum of its proper divisors (4081255896).

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

2034011304 is a wasteful number, since it uses less digits than its factorization.

2034011304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3672 (or 3662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2034011304 is about 45100.0144567604. The cubic root of 2034011304 is about 1267.0228700277.

Adding to 2034011304 its reverse (4031104302), we get a palindrome (6065115606).

The spelling of 2034011304 in words is "two billion, thirty-four million, eleven thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 211 216 234 312 351 422 468 633 702 844 936 1266 1404 1688 1899 2532 2743 2808 3433 3798 5064 5486 5697 6866 7596 8229 10299 10972 11394 13732 15192 16458 20598 21944 22788 24687 27464 30897 32916 41196 44629 45576 49374 61794 65832 74061 82392 89258 92691 98748 123588 133887 148122 178516 185382 197496 247176 267774 296244 357032 370764 401661 535548 592488 724363 741528 803322 1071096 1204983 1448726 1606644 2173089 2409966 2897452 3213288 4346178 4819932 5794904 6519267 8692356 9416719 9639864 13038534 17384712 18833438 19557801 26077068 28250157 37666876 39115602 52154136 56500314 75333752 78231204 84750471 113000628 156462408 169500942 226001256 254251413 339001884 508502826 678003768 1017005652 2034011304