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3325514340 = 22352315715349
BaseRepresentation
bin1100011000110111…
…0101001001100100
322120202112122001210
43012031311021210
523302312424330
61305553151420
7145260256041
oct30615651144
98522478053
103325514340
111457191165
1278985b570
1340cc76685
1423793c1c8
15146e428b0
hexc6375264

3325514340 has 96 divisors (see below), whose sum is σ = 9778809600. Its totient is φ = 842789376.

The previous prime is 3325514333. The next prime is 3325514351. The reversal of 3325514340 is 434155233.

It is a super-2 number, since 2×33255143402 = 22118091251091271200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3325514298 and 3325514307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208986 + ... + 224334.

It is an arithmetic number, because the mean of its divisors is an integer number (101862600).

Almost surely, 23325514340 is an apocalyptic number.

3325514340 is a gapful number since it is divisible by the number (30) 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 3325514340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4889404800).

3325514340 is an abundant number, since it is smaller than the sum of its proper divisors (6453295260).

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

3325514340 is a wasteful number, since it uses less digits than its factorization.

3325514340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15541 (or 15539 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3325514340 is about 57667.2726943108. The cubic root of 3325514340 is about 1492.6326652721.

Adding to 3325514340 its reverse (434155233), we get a palindrome (3759669573).

The spelling of 3325514340 in words is "three billion, three hundred twenty-five million, five hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 157 230 276 314 345 460 471 628 690 785 942 1380 1570 1884 2355 3140 3611 4710 7222 9420 10833 14444 15349 18055 21666 30698 36110 43332 46047 54165 61396 72220 76745 92094 108330 153490 184188 216660 230235 306980 353027 460470 706054 920940 1059081 1412108 1765135 2118162 2409793 3530270 4236324 4819586 5295405 7060540 7229379 9639172 10590810 12048965 14458758 21181620 24097930 28917516 36146895 48195860 55425239 72293790 110850478 144587580 166275717 221700956 277126195 332551434 554252390 665102868 831378585 1108504780 1662757170 3325514340