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3320012424 = 2331919138119
BaseRepresentation
bin1100010111100011…
…0101111010001000
322120101012002212010
43011320311322020
523244410344144
61305235215520
7145162432341
oct30570657210
98511162763
103320012424
111454073523
12787a475a0
1340ba9b2c1
14236d090c8
151467075b9
hexc5e35e88

3320012424 has 64 divisors (see below), whose sum is σ = 8782848000. Its totient is φ = 1042908480.

The previous prime is 3320012411. The next prime is 3320012429. The reversal of 3320012424 is 4242100233.

3320012424 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33200124242 = 22044964991028711552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3320012424.

It is not an unprimeable number, because it can be changed into a prime (3320012429) 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, 68037 + ... + 106155.

It is an arithmetic number, because the mean of its divisors is an integer number (137232000).

Almost surely, 23320012424 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 3320012424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4391424000).

3320012424 is an abundant number, since it is smaller than the sum of its proper divisors (5462835576).

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

3320012424 is a wasteful number, since it uses less digits than its factorization.

3320012424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38338 (or 38334 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3320012424 is about 57619.5489742848. The cubic root of 3320012424 is about 1491.8090460407.

Adding to 3320012424 its reverse (4242100233), we get a palindrome (7562112657).

The spelling of 3320012424 in words is "three billion, three hundred twenty million, twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 191 228 382 456 573 764 1146 1528 2292 3629 4584 7258 10887 14516 21774 29032 38119 43548 76238 87096 114357 152476 228714 304952 457428 724261 914856 1448522 2172783 2897044 4345566 5794088 7280729 8691132 14561458 17382264 21842187 29122916 43684374 58245832 87368748 138333851 174737496 276667702 415001553 553335404 830003106 1106670808 1660006212 3320012424