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2814074940 = 2235172758897
BaseRepresentation
bin1010011110111011…
…0110000000111100
321021010011211002210
42213232312000330
521230400344230
61143123220420
7126510146055
oct24756660074
97233154083
102814074940
111214521176
12666517710
1335b017801
141c9a4972c
151170b9eb0
hexa7bb603c

2814074940 has 48 divisors (see below), whose sum is σ = 8342907552. Its totient is φ = 706277376.

The previous prime is 2814074927. The next prime is 2814074951. The reversal of 2814074940 is 494704182.

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 15 ways as a sum of consecutive naturals, for example, 1378429 + ... + 1380468.

It is an arithmetic number, because the mean of its divisors is an integer number (173810574).

Almost surely, 22814074940 is an apocalyptic number.

2814074940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2814074940 is an abundant number, since it is smaller than the sum of its proper divisors (5528832612).

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

2814074940 is a wasteful number, since it uses less digits than its factorization.

2814074940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758926 (or 2758924 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2814074940 is about 53047.8551875568. The cubic root of 2814074940 is about 1411.8174742061.

The spelling of 2814074940 in words is "two billion, eight hundred fourteen million, seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 2758897 5517794 8276691 11035588 13794485 16553382 27588970 33106764 41383455 46901249 55177940 82766910 93802498 140703747 165533820 187604996 234506245 281407494 469012490 562814988 703518735 938024980 1407037470 2814074940