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3431202852 = 22372114711287
BaseRepresentation
bin1100110010000100…
…0000000000100100
322212010102011110010
43030201000000210
524011341442402
61324250330220
7151012512600
oct31441000044
98763364403
103431202852
111500908540
127b9129970
13428b2c45c
142479b0500
1515136ca6c
hexcc840024

3431202852 has 144 divisors (see below), whose sum is σ = 10377013248. Its totient is φ = 872182080.

The previous prime is 3431202839. The next prime is 3431202857. The reversal of 3431202852 is 2582021343.

It is not an unprimeable number, because it can be changed into a prime (3431202857) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298353 + ... + 309639.

It is an arithmetic number, because the mean of its divisors is an integer number (72062592).

Almost surely, 23431202852 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 3431202852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188506624).

3431202852 is an abundant number, since it is smaller than the sum of its proper divisors (6945810396).

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

3431202852 is a wasteful number, since it uses less digits than its factorization.

3431202852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11366 (or 11357 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3431202852 is about 58576.4701223964. The cubic root of 3431202852 is about 1508.2805526281.

The spelling of 3431202852 in words is "three billion, four hundred thirty-one million, two hundred two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 47 49 66 77 84 94 98 132 141 147 154 188 196 231 282 294 308 329 462 517 539 564 588 658 924 987 1034 1078 1316 1551 1617 1974 2068 2156 2303 3102 3234 3619 3948 4606 6204 6468 6909 7238 9212 10857 11287 13818 14476 21714 22574 25333 27636 33861 43428 45148 50666 67722 75999 79009 101332 124157 135444 151998 158018 237027 248314 303996 316036 372471 474054 496628 530489 553063 744942 869099 948108 1060978 1106126 1489884 1591467 1659189 1738198 2121956 2212252 2607297 3182934 3318378 3476396 3713423 5214594 5835379 6083693 6365868 6636756 7426846 10429188 11140269 11670758 12167386 14853692 17506137 18251079 22280538 23341516 24334772 25993961 35012274 36502158 40847653 44561076 51987922 70024548 73004316 77981883 81695306 103975844 122542959 155963766 163390612 245085918 285933571 311927532 490171836 571867142 857800713 1143734284 1715601426 3431202852