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2794734640 = 2452910111927
BaseRepresentation
bin1010011010010100…
…0100010000110000
321012202210020012101
42212211010100300
521210423002030
61141152510144
7126153565255
oct24645042060
97182706171
102794734640
111204611555
1265bb4b354
13357005749
141c725342c
151155497ca
hexa6944430

2794734640 has 80 divisors (see below), whose sum is σ = 6788940480. Its totient is φ = 1068569600.

The previous prime is 2794734637. The next prime is 2794734641. The reversal of 2794734640 is 464374972.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2794734641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 228357 + ... + 240283.

It is an arithmetic number, because the mean of its divisors is an integer number (84861756).

Almost surely, 22794734640 is an apocalyptic number.

2794734640 is a gapful number since it is divisible by the number (20) 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 2794734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394470240).

2794734640 is an abundant number, since it is smaller than the sum of its proper divisors (3994205840).

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

2794734640 is a wasteful number, since it uses less digits than its factorization.

2794734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12064 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 46.

The square root of 2794734640 is about 52865.2498338937. The cubic root of 2794734640 is about 1408.5757023978.

The spelling of 2794734640 in words is "two billion, seven hundred ninety-four million, seven hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 101 116 145 202 232 290 404 464 505 580 808 1010 1160 1616 2020 2320 2929 4040 5858 8080 11716 11927 14645 23432 23854 29290 46864 47708 58580 59635 95416 117160 119270 190832 234320 238540 345883 477080 691766 954160 1204627 1383532 1729415 2409254 2767064 3458830 4818508 5534128 6023135 6917660 9637016 12046270 13835320 19274032 24092540 27670640 34934183 48185080 69868366 96370160 139736732 174670915 279473464 349341830 558946928 698683660 1397367320 2794734640