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2709424344 = 2331114968879
BaseRepresentation
bin1010000101111110…
…1000100011011000
320222211021000110210
42201133220203120
521022103034334
61124504211120
7124066504224
oct24137504330
96884230423
102709424344
111170443680
12637469aa0
13342436293
141b9ba7784
1510cce75e9
hexa17e88d8

2709424344 has 64 divisors (see below), whose sum is σ = 7439040000. Its totient is φ = 815515520.

The previous prime is 2709424321. The next prime is 2709424349. The reversal of 2709424344 is 4434249072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2709424349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4897 + ... + 73775.

It is an arithmetic number, because the mean of its divisors is an integer number (116235000).

Almost surely, 22709424344 is an apocalyptic number.

2709424344 is a gapful number since it is divisible by the number (24) 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 2709424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3719520000).

2709424344 is an abundant number, since it is smaller than the sum of its proper divisors (4729615656).

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

2709424344 is a wasteful number, since it uses less digits than its factorization.

2709424344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69048 (or 69044 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The square root of 2709424344 is about 52052.1310226584. The cubic root of 2709424344 is about 1394.0949142435.

The spelling of 2709424344 in words is "two billion, seven hundred nine million, four hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 149 264 298 447 596 894 1192 1639 1788 3278 3576 4917 6556 9834 13112 19668 39336 68879 137758 206637 275516 413274 551032 757669 826548 1515338 1653096 2273007 3030676 4546014 6061352 9092028 10262971 18184056 20525942 30788913 41051884 61577826 82103768 112892681 123155652 225785362 246311304 338678043 451570724 677356086 903141448 1354712172 2709424344