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3362318664 = 23323137173257
BaseRepresentation
bin1100100001101000…
…1110100101001000
322200022210111002220
43020122032211020
523341223144124
61313350054040
7146215144215
oct31032164510
98608714086
103362318664
111475a39861
1279a04a320
13417791793
1423c79cb0c
1514a2b2879
hexc868e948

3362318664 has 128 divisors (see below), whose sum is σ = 8920938240. Its totient is φ = 1053949952.

The previous prime is 3362318657. The next prime is 3362318731. The reversal of 3362318664 is 4668132633.

It is a super-2 number, since 2×33623186642 = 22610373596565489792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13082824 + ... + 13083080.

It is an arithmetic number, because the mean of its divisors is an integer number (69694830).

Almost surely, 23362318664 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 3362318664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460469120).

3362318664 is an abundant number, since it is smaller than the sum of its proper divisors (5558619576).

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

3362318664 is a wasteful number, since it uses less digits than its factorization.

3362318664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 595 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The square root of 3362318664 is about 57985.5039126160. The cubic root of 3362318664 is about 1498.1189255810.

The spelling of 3362318664 in words is "three billion, three hundred sixty-two million, three hundred eighteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 137 138 173 184 257 274 276 346 411 514 519 548 552 692 771 822 1028 1038 1096 1384 1542 1644 2056 2076 3084 3151 3288 3979 4152 5911 6168 6302 7958 9453 11822 11937 12604 15916 17733 18906 23644 23701 23874 25208 31832 35209 35466 37812 44461 47288 47402 47748 70418 70932 71103 75624 88922 94804 95496 105627 133383 140836 141864 142206 177844 189608 211254 266766 281672 284412 355688 422508 533532 545123 568824 809807 845016 1022603 1067064 1090246 1619614 1635369 2045206 2180492 2429421 3067809 3239228 3270738 4090412 4360984 4858842 6091157 6135618 6478456 6541476 8180824 9717684 12182314 12271236 13082952 18273471 19435368 24364628 24542472 36546942 48729256 73093884 140096611 146187768 280193222 420289833 560386444 840579666 1120772888 1681159332 3362318664