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2034291588 = 2237411274651
BaseRepresentation
bin111100101000000…
…1101001110000100
312020202212201102220
41321100031032010
513131234312323
6533505532340
7101261123160
oct17120151604
95222781386
102034291588
1195433941a
124893440b0
132655c2844
14154263ca0
15bd8d80e3
hex7940d384

2034291588 has 96 divisors (see below), whose sum is σ = 5602050048. Its totient is φ = 562464000.

The previous prime is 2034291569. The next prime is 2034291607. The reversal of 2034291588 is 8851924302.

It is an interprime number because it is at equal distance from previous prime (2034291569) and next prime (2034291607).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 435063 + ... + 439713.

It is an arithmetic number, because the mean of its divisors is an integer number (58354688).

Almost surely, 22034291588 is an apocalyptic number.

2034291588 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 2034291588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801025024).

2034291588 is an abundant number, since it is smaller than the sum of its proper divisors (3567758460).

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

2034291588 is a wasteful number, since it uses less digits than its factorization.

2034291588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 2034291588 is about 45103.1217101433. The cubic root of 2034291588 is about 1267.0810653660.

The spelling of 2034291588 in words is "two billion, thirty-four million, two hundred ninety-one thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 127 164 246 254 287 381 492 508 574 762 861 889 1148 1524 1722 1778 2667 3444 3556 4651 5207 5334 9302 10414 10668 13953 15621 18604 20828 27906 31242 32557 36449 55812 62484 65114 72898 97671 109347 130228 145796 190691 195342 218694 381382 390684 437388 572073 590677 762764 1144146 1181354 1334837 1772031 2288292 2362708 2669674 3544062 4004511 4134739 5339348 7088124 8009022 8269478 12404217 16018044 16538956 24217757 24808434 48435514 49616868 72653271 96871028 145306542 169524299 290613084 339048598 508572897 678097196 1017145794 2034291588