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3201342452 = 22711191992749
BaseRepresentation
bin1011111011010000…
…1001101111110100
322021002220001020222
42332310021233310
523024020424302
61245355513512
7142221650630
oct27664115764
98232801228
103201342452
1113a308aa70
12754158898
133c031b899
14225257dc0
1513b0b5da2
hexbed09bf4

3201342452 has 96 divisors (see below), whose sum is σ = 7392000000. Its totient is φ = 1175264640.

The previous prime is 3201342439. The next prime is 3201342457. The reversal of 3201342452 is 2542431023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3201342457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163174 + ... + 1165922.

It is an arithmetic number, because the mean of its divisors is an integer number (77000000).

Almost surely, 23201342452 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 3201342452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3696000000).

3201342452 is an abundant number, since it is smaller than the sum of its proper divisors (4190657548).

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

3201342452 is a wasteful number, since it uses less digits than its factorization.

3201342452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2989 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3201342452 is about 56580.4069621278. The cubic root of 3201342452 is about 1473.8186387904.

Adding to 3201342452 its reverse (2542431023), we get a palindrome (5743773475).

The spelling of 3201342452 in words is "three billion, two hundred one million, three hundred forty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 199 209 266 308 398 418 532 796 836 1393 1463 2189 2749 2786 2926 3781 4378 5498 5572 5852 7562 8756 10996 15124 15323 19243 26467 30239 30646 38486 41591 52231 52934 60478 61292 76972 83182 104462 105868 120956 166364 208924 211673 291137 365617 423346 547051 574541 582274 731234 846692 1094102 1149082 1164548 1462468 2188204 2298164 3829357 4021787 6017561 7658714 8043574 10393969 12035122 15317428 16087148 20787938 24070244 41575876 42122927 72757783 84245854 114333659 145515566 168491708 228667318 291031132 457334636 800335613 1600671226 3201342452