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2734716320 = 255710632297
BaseRepresentation
bin1010001100000000…
…0111010110100000
321001120211222112122
42203000013112200
521100041410240
61131210243412
7124524463610
oct24300072640
97046758478
102734716320
111183748936
12643a26568
1334775034b
141bd2aca40
151101414b5
hexa30075a0

2734716320 has 96 divisors (see below), whose sum is σ = 7393897728. Its totient is φ = 936327168.

The previous prime is 2734716319. The next prime is 2734716323. The reversal of 2734716320 is 236174372.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (2734716323) 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, 1189412 + ... + 1191708.

It is an arithmetic number, because the mean of its divisors is an integer number (77019768).

Almost surely, 22734716320 is an apocalyptic number.

2734716320 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 2734716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696948864).

2734716320 is an abundant number, since it is smaller than the sum of its proper divisors (4659181408).

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

2734716320 is a wasteful number, since it uses less digits than its factorization.

2734716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3382 (or 3374 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 2734716320 is about 52294.5151999710. The cubic root of 2734716320 is about 1398.4193589386.

The spelling of 2734716320 in words is "two billion, seven hundred thirty-four million, seven hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1063 1120 2126 2297 4252 4594 5315 7441 8504 9188 10630 11485 14882 16079 17008 18376 21260 22970 29764 32158 34016 36752 37205 42520 45940 59528 64316 73504 74410 80395 85040 91880 119056 128632 148820 160790 170080 183760 238112 257264 297640 321580 367520 514528 595280 643160 1190560 1286320 2441711 2572640 4883422 9766844 12208555 17091977 19533688 24417110 34183954 39067376 48834220 68367908 78134752 85459885 97668440 136735816 170919770 195336880 273471632 341839540 390673760 546943264 683679080 1367358160 2734716320