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2279734940 = 225716283821
BaseRepresentation
bin1000011111100001…
…1111111010011100
312212212201112102102
42013320133322130
514132103004230
61014114344232
7110331266360
oct20770377234
95785645372
102279734940
11a6a93a66a
1253758b078
132a43cb1b2
14178ab52a0
15d521c045
hex87e1fe9c

2279734940 has 24 divisors (see below), whose sum is σ = 5471364192. Its totient is φ = 781623360.

The previous prime is 2279734813. The next prime is 2279734943. The reversal of 2279734940 is 494379722.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2279734943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8141771 + ... + 8142050.

It is an arithmetic number, because the mean of its divisors is an integer number (227973508).

Almost surely, 22279734940 is an apocalyptic number.

2279734940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2279734940 is an abundant number, since it is smaller than the sum of its proper divisors (3191629252).

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

2279734940 is a wasteful number, since it uses less digits than its factorization.

2279734940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16283837 (or 16283835 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The square root of 2279734940 is about 47746.5699291583. The cubic root of 2279734940 is about 1316.1178676036.

The spelling of 2279734940 in words is "two billion, two hundred seventy-nine million, seven hundred thirty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 16283821 32567642 65135284 81419105 113986747 162838210 227973494 325676420 455946988 569933735 1139867470 2279734940