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3340745442 = 2323121511279
BaseRepresentation
bin1100011100011111…
…1011101011100010
322121211012110012200
43013013323223202
523320212323232
61311255434030
7145533603426
oct30707735342
98554173180
103340745442
111464844551
12792985916
1341317a268
14239984b86
1514845077c
hexc71fbae2

3340745442 has 72 divisors (see below), whose sum is σ = 7534725120. Its totient is φ = 1069686000.

The previous prime is 3340745389. The next prime is 3340745461. The reversal of 3340745442 is 2445470433.

3340745442 is a `hidden beast` number, since 3 + 3 + 40 + 74 + 544 + 2 = 666.

It is a super-2 number, since 2×33407454422 = 22321160216487550728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3340745397 and 3340745406.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 2611359 + ... + 2612637.

It is an arithmetic number, because the mean of its divisors is an integer number (104648960).

Almost surely, 23340745442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340745442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767362560).

3340745442 is an abundant number, since it is smaller than the sum of its proper divisors (4193979678).

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

3340745442 is a wasteful number, since it uses less digits than its factorization.

3340745442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3340745442 is about 57799.1820184334. The cubic root of 3340745442 is about 1494.9079844785.

The spelling of 3340745442 in words is "three billion, three hundred forty million, seven hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 151 186 279 302 453 558 906 961 1279 1359 1922 2558 2718 2883 3837 4681 5766 7674 8649 9362 11511 14043 17298 23022 28086 39649 42129 79298 84258 118947 145111 193129 237894 290222 356841 386258 435333 579387 713682 870666 1158774 1229119 1305999 1738161 2458238 2611998 3476322 3687357 5986999 7374714 11062071 11973998 17960997 22124142 35921994 53882991 107765982 185596969 371193938 556790907 1113581814 1670372721 3340745442