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3383368608 = 253191854917
BaseRepresentation
bin1100100110101010…
…0001101110100000
322201210101221012110
43021222201232200
523412120243413
61315421155320
7146562105264
oct31152415640
98653357173
103383368608
111486906a04
127a50bbb40
1341bc51a79
142414bc0a4
1514c06e8c3
hexc9aa1ba0

3383368608 has 48 divisors (see below), whose sum is σ = 9348786720. Its totient is φ = 1068431616.

The previous prime is 3383368603. The next prime is 3383368621. The reversal of 3383368608 is 8068633833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×33833686083 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3383368601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 925635 + ... + 929282.

It is an arithmetic number, because the mean of its divisors is an integer number (194766390).

Almost surely, 23383368608 is an apocalyptic number.

3383368608 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3383368608 is an abundant number, since it is smaller than the sum of its proper divisors (5965418112).

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

3383368608 is a wasteful number, since it uses less digits than its factorization.

3383368608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854949 (or 1854941 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 3383368608 is about 58166.7311098019. The cubic root of 3383368608 is about 1501.2387704613.

The spelling of 3383368608 in words is "three billion, three hundred eighty-three million, three hundred sixty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 1854917 3709834 5564751 7419668 11129502 14839336 22259004 29678672 35243423 44518008 59357344 70486846 89036016 105730269 140973692 178072032 211460538 281947384 422921076 563894768 845842152 1127789536 1691684304 3383368608