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2734988328 = 23352361169
BaseRepresentation
bin1010001100000100…
…1001110000101000
321001121100210200000
42203001021300220
521100124111303
61131220143000
7124530005622
oct24301116050
97047323600
102734988328
111183914236
12643b37a60
133478170b7
141bd33dc12
15110196da3
hexa3049c28

2734988328 has 96 divisors (see below), whose sum is σ = 8015716800. Its totient is φ = 872011008.

The previous prime is 2734988323. The next prime is 2734988329. The reversal of 2734988328 is 8238894372.

2734988328 is a `hidden beast` number, since 2 + 73 + 498 + 83 + 2 + 8 = 666.

It is a super-2 number, since 2×27349883282 = 14960322308592471168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2734988323) 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 23 ways as a sum of consecutive naturals, for example, 14128 + ... + 75296.

It is an arithmetic number, because the mean of its divisors is an integer number (83497050).

Almost surely, 22734988328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734988328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007858400).

2734988328 is an abundant number, since it is smaller than the sum of its proper divisors (5280728472).

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

2734988328 is a wasteful number, since it uses less digits than its factorization.

2734988328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61213 (or 61197 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 2734988328 is about 52297.1158669386. The cubic root of 2734988328 is about 1398.4657219001.

The spelling of 2734988328 in words is "two billion, seven hundred thirty-four million, nine hundred eighty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 81 92 108 138 162 184 207 216 243 276 324 414 486 552 621 648 828 972 1242 1656 1863 1944 2484 3726 4968 5589 7452 11178 14904 22356 44712 61169 122338 183507 244676 367014 489352 550521 734028 1101042 1406887 1468056 1651563 2202084 2813774 3303126 4220661 4404168 4954689 5627548 6606252 8441322 9909378 11255096 12661983 13212504 14864067 16882644 19818756 25323966 29728134 33765288 37985949 39637512 50647932 59456268 75971898 101295864 113957847 118912536 151943796 227915694 303887592 341873541 455831388 683747082 911662776 1367494164 2734988328