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2034106614 = 233235632909
BaseRepresentation
bin111100100111110…
…0000000011110110
312020202112022201000
41321033200003312
513131212402424
6533501544130
7101256422661
oct17117400366
95222468630
102034106614
11954222451
12489275046
132655595a7
141542166d8
15bd89d3c9
hex793e00f6

2034106614 has 64 divisors (see below), whose sum is σ = 4726771200. Its totient is φ = 647181216.

The previous prime is 2034106609. The next prime is 2034106621. The reversal of 2034106614 is 4166014302.

2034106614 is a `hidden beast` number, since 2 + 0 + 3 + 41 + 0 + 6 + 614 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 697792 + ... + 700700.

It is an arithmetic number, because the mean of its divisors is an integer number (73855800).

Almost surely, 22034106614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2034106614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363385600).

2034106614 is an abundant number, since it is smaller than the sum of its proper divisors (2692664586).

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

2034106614 is a wasteful number, since it uses less digits than its factorization.

2034106614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2034106614 is about 45101.0710959285. The cubic root of 2034106614 is about 1267.0426598331.

The spelling of 2034106614 in words is "two billion, thirty-four million, one hundred six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 138 207 414 563 621 1126 1242 1689 2909 3378 5067 5818 8727 10134 12949 15201 17454 25898 26181 30402 38847 52362 66907 77694 78543 116541 133814 157086 200721 233082 349623 401442 602163 699246 1204326 1637767 1806489 3275534 3612978 4913301 9826602 14739903 29479806 37668641 44219709 75337282 88439418 113005923 226011846 339017769 678035538 1017053307 2034106614