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3330241024 = 29112347547
BaseRepresentation
bin1100011001111111…
…0111001000000000
322121002102202212011
43012133313020000
523310020203044
61310242342304
7145345403335
oct30637671000
98532382764
103330241024
11145991a410
1278b35a994
13410c3cc26
1423840c98c
15147578134
hexc67f7200

3330241024 has 160 divisors (see below), whose sum is σ = 7749789696. Its totient is φ = 1414533120.

The previous prime is 3330241007. The next prime is 3330241037. The reversal of 3330241024 is 4201420333.

It is a happy number.

It is a super-2 number, since 2×33302410242 = 22181010555865137152, 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 = 3330240986 and 3330241004.

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, 6087919 + ... + 6088465.

Almost surely, 23330241024 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 3330241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874894848).

3330241024 is an abundant number, since it is smaller than the sum of its proper divisors (4419548672).

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

3330241024 is a wasteful number, since it uses less digits than its factorization.

3330241024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

The square root of 3330241024 is about 57708.2405207437. The cubic root of 3330241024 is about 1493.3395096116.

Adding to 3330241024 its reverse (4201420333), we get a palindrome (7531661357).

The spelling of 3330241024 in words is "three billion, three hundred thirty million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 47 64 88 92 94 128 176 184 188 253 256 352 368 376 506 512 517 547 704 736 752 1012 1034 1081 1094 1408 1472 1504 2024 2068 2162 2188 2816 2944 3008 4048 4136 4324 4376 5632 5888 6016 6017 8096 8272 8648 8752 11776 11891 12032 12034 12581 16192 16544 17296 17504 23782 24064 24068 25162 25709 32384 33088 34592 35008 47564 48136 50324 51418 64768 66176 69184 70016 95128 96272 100648 102836 129536 132352 138368 138391 140032 190256 192544 201296 205672 264704 276736 276782 280064 282799 380512 385088 402592 411344 553472 553564 565598 591307 761024 770176 805184 822688 1107128 1131196 1182614 1522048 1540352 1610368 1645376 2214256 2262392 2365228 3044096 3080704 3220736 3290752 4428512 4524784 4730456 6088192 6441472 6504377 6581504 8857024 9049568 9460912 13008754 13163008 17714048 18099136 18921824 26017508 35428096 36198272 37843648 52035016 70856192 72396544 75687296 104070032 144793088 151374592 208140064 302749184 416280128 832560256 1665120512 3330241024