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3364314330 = 2351310780621
BaseRepresentation
bin1100100010000111…
…0101110011011010
322200110112212122110
43020201311303122
523342231024310
61313500533150
7146241125406
oct31041656332
98613485573
103364314330
111477082173
1279a8511b6
1341800cc50
1423cb5c106
1514a558d20
hexc8875cda

3364314330 has 64 divisors (see below), whose sum is σ = 8776833408. Its totient is φ = 820389120.

The previous prime is 3364314319. The next prime is 3364314353. The reversal of 3364314330 is 334134633.

3364314330 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33643143302 = 22637221822086697800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420 + ... + 82040.

It is an arithmetic number, because the mean of its divisors is an integer number (137138022).

Almost surely, 23364314330 is an apocalyptic number.

3364314330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364314330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4388416704).

3364314330 is an abundant number, since it is smaller than the sum of its proper divisors (5412519078).

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

3364314330 is a wasteful number, since it uses less digits than its factorization.

3364314330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80751.

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3364314330 is about 58002.7096780831. The cubic root of 3364314330 is about 1498.4152641088.

Adding to 3364314330 its reverse (334134633), we get a palindrome (3698448963).

The spelling of 3364314330 in words is "three billion, three hundred sixty-four million, three hundred fourteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 107 130 195 214 321 390 535 642 1070 1391 1605 2782 3210 4173 6955 8346 13910 20865 41730 80621 161242 241863 403105 483726 806210 1048073 1209315 2096146 2418630 3144219 5240365 6288438 8626447 10480730 15721095 17252894 25879341 31442190 43132235 51758682 86264470 112143811 129396705 224287622 258793410 336431433 560719055 672862866 1121438110 1682157165 3364314330