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3324058320 = 2435111259113
BaseRepresentation
bin1100011000100001…
…0001101011010000
322120122210122210010
43012020101223100
523301424331240
61305502034520
7145242013062
oct30610215320
98518718703
103324058320
111456387240
12789278a40
1340c886a1b
1423767d732
15146c56280
hexc6211ad0

3324058320 has 80 divisors (see below), whose sum is σ = 11241369792. Its totient is φ = 805831680.

The previous prime is 3324058301. The next prime is 3324058327. The reversal of 3324058320 is 238504233.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33240583202 = 22098727429522444800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3324058327) 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, 626917 + ... + 632196.

Almost surely, 23324058320 is an apocalyptic number.

3324058320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3324058320 is an abundant number, since it is smaller than the sum of its proper divisors (7917311472).

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

3324058320 is a wasteful number, since it uses less digits than its factorization.

3324058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259140 (or 1259134 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 3324058320 is about 57654.6469939761. The cubic root of 3324058320 is about 1492.4147921805.

It can be divided in two parts, 332405 and 8320, that added together give a triangular number (340725 = T825).

The spelling of 3324058320 in words is "three billion, three hundred twenty-four million, fifty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1259113 2518226 3777339 5036452 6295565 7554678 10072904 12591130 13850243 15109356 18886695 20145808 25182260 27700486 30218712 37773390 41550729 50364520 55400972 60437424 69251215 75546780 83101458 100729040 110801944 138502430 151093560 166202916 207753645 221603888 277004860 302187120 332405832 415507290 554009720 664811664 831014580 1108019440 1662029160 3324058320