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3335142324 = 22323591091879
BaseRepresentation
bin1100011011001010…
…0011101110110100
322121102122210011210
43012302203232310
523312244023244
61310535401420
7145435146003
oct30662435664
98542583153
103335142324
111461667878
12790b23270
13411c67ac7
14238d26c3a
15147be54b9
hexc6ca3bb4

3335142324 has 96 divisors (see below), whose sum is σ = 8338176000. Its totient is φ = 1035213696.

The previous prime is 3335142299. The next prime is 3335142329. The reversal of 3335142324 is 4232415333.

It is a super-2 number, since 2×33351423242 = 22246348642672241952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3335142291 and 3335142300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335142329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1774017 + ... + 1775895.

It is an arithmetic number, because the mean of its divisors is an integer number (86856000).

Almost surely, 23335142324 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 3335142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4169088000).

3335142324 is an abundant number, since it is smaller than the sum of its proper divisors (5003033676).

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

3335142324 is a wasteful number, since it uses less digits than its factorization.

3335142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077 (or 2075 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 3335142324 is about 57750.6911127477. The cubic root of 3335142324 is about 1494.0717606286.

Adding to 3335142324 its reverse (4232415333), we get a palindrome (7567557657).

The spelling of 3335142324 in words is "three billion, three hundred thirty-five million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 23 46 59 69 92 109 118 138 177 218 236 276 327 354 436 654 708 1308 1357 1879 2507 2714 3758 4071 5014 5428 5637 6431 7516 7521 8142 10028 11274 12862 15042 16284 19293 22548 25724 30084 38586 43217 77172 86434 110861 129651 147913 172868 204811 221722 259302 295826 332583 409622 443444 443739 518604 591652 614433 665166 819244 887478 1228866 1330332 1774956 2457732 2549803 4710653 5099606 7649409 9421306 10199212 12083849 14131959 15298818 18842612 24167698 28263918 30597636 36251547 48335396 56527836 72503094 145006188 277928527 555857054 833785581 1111714108 1667571162 3335142324