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3368960328 = 2332314940961
BaseRepresentation
bin1100100011001110…
…0100000101001000
322200210021220202110
43020303210011020
523344423212303
61314144302320
7146325455526
oct31063440510
98623256673
103368960328
111479765838
127a03119a0
13418c78866
1423d60b316
1514ab75703
hexc8ce4148

3368960328 has 64 divisors (see below), whose sum is σ = 8847792000. Its totient is φ = 1066926080.

The previous prime is 3368960323. The next prime is 3368960333. The reversal of 3368960328 is 8230698633.

It is an interprime number because it is at equal distance from previous prime (3368960323) and next prime (3368960333).

It is a super-2 number, since 2×33689603282 = 22699787383275735168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3368960323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61768 + ... + 102728.

It is an arithmetic number, because the mean of its divisors is an integer number (138246750).

Almost surely, 23368960328 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 3368960328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423896000).

3368960328 is an abundant number, since it is smaller than the sum of its proper divisors (5478831672).

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

3368960328 is a wasteful number, since it uses less digits than its factorization.

3368960328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41142 (or 41138 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 3368960328 is about 58042.7456965985. The cubic root of 3368960328 is about 1499.1046995088.

The spelling of 3368960328 in words is "three billion, three hundred sixty-eight million, nine hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 149 184 276 298 447 552 596 894 1192 1788 3427 3576 6854 10281 13708 20562 27416 40961 41124 81922 82248 122883 163844 245766 327688 491532 942103 983064 1884206 2826309 3768412 5652618 6103189 7536824 11305236 12206378 18309567 22610472 24412756 36619134 48825512 73238268 140373347 146476536 280746694 421120041 561493388 842240082 1122986776 1684480164 3368960328