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3201442040 = 2351718472549
BaseRepresentation
bin1011111011010010…
…0010000011111000
322021010002002212102
42332310202003320
523024032121130
61245402002532
7142222544156
oct27664420370
98233062772
103201442040
1113a3148875
127541a6448
133c0355004
142252823d6
1513b0d5645
hexbed220f8

3201442040 has 64 divisors (see below), whose sum is σ = 7634088000. Its totient is φ = 1204123648.

The previous prime is 3201442007. The next prime is 3201442067. The reversal of 3201442040 is 402441023.

3201442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×32014420402 = 20498462270958723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 1254686 + ... + 1257234.

It is an arithmetic number, because the mean of its divisors is an integer number (119282625).

Almost surely, 23201442040 is an apocalyptic number.

It is an amenable number.

3201442040 is an abundant number, since it is smaller than the sum of its proper divisors (4432645960).

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

3201442040 is a wasteful number, since it uses less digits than its factorization.

3201442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4424 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3201442040 is about 56581.2870125804. The cubic root of 3201442040 is about 1473.8339212468.

Adding to 3201442040 its reverse (402441023), we get a palindrome (3603883063).

The spelling of 3201442040 in words is "three billion, two hundred one million, four hundred forty-two thousand, forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 1847 2549 3694 5098 7388 9235 10196 12745 14776 18470 20392 25490 31399 36940 43333 50980 62798 73880 86666 101960 125596 156995 173332 216665 251192 313990 346664 433330 627980 866660 1255960 1733320 4708003 9416006 18832012 23540015 37664024 47080030 80036051 94160060 160072102 188320120 320144204 400180255 640288408 800360510 1600721020 3201442040