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3330340024 = 2311438391049
BaseRepresentation
bin1100011010000000…
…1111010010111000
322121002121210122211
43012200033102320
523310031340044
61310244424504
7145346265064
oct30640172270
98532553584
103330340024
111459987830
1278b3a8134
13410c75ccb
14238436aa4
15147597634
hexc680f4b8

3330340024 has 64 divisors (see below), whose sum is σ = 6985440000. Its totient is φ = 1475416320.

The previous prime is 3330339973. The next prime is 3330340043. The reversal of 3330340024 is 4200430333.

It is a super-2 number, since 2×33303400242 = 22182329350912641152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3330339977 and 3330340004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174252 + ... + 3175300.

It is an arithmetic number, because the mean of its divisors is an integer number (109147500).

Almost surely, 23330340024 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 3330340024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3492720000).

3330340024 is an abundant number, since it is smaller than the sum of its proper divisors (3655099976).

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

3330340024 is a wasteful number, since it uses less digits than its factorization.

3330340024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 22.

The square root of 3330340024 is about 57709.0982774813. The cubic root of 3330340024 is about 1493.3543072540.

Adding to 3330340024 its reverse (4200430333), we get a palindrome (7530770357).

The spelling of 3330340024 in words is "three billion, three hundred thirty million, three hundred forty thousand, twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 839 946 1049 1678 1892 2098 3356 3784 4196 6712 8392 9229 11539 18458 23078 36077 36916 45107 46156 72154 73832 90214 92312 144308 180428 288616 360856 396847 496177 793694 880111 992354 1587388 1760222 1984708 3174776 3520444 3969416 7040888 9681221 19362442 37844773 38724884 75689546 77449768 151379092 302758184 416292503 832585006 1665170012 3330340024