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3383265248 = 251119505871
BaseRepresentation
bin1100100110101000…
…1000011111100000
322201210012200102022
43021222020133200
523412103441443
61315415041012
7146561165036
oct31152103740
98653180368
103383265248
111486846290
127a5070168
1341bc169cc
14241492556
1514c04de68
hexc9a887e0

3383265248 has 48 divisors (see below), whose sum is σ = 7648784640. Its totient is φ = 1456905600.

The previous prime is 3383265209. The next prime is 3383265253. The reversal of 3383265248 is 8425623833.

It is a super-2 number, since 2×33832652482 = 22892967476649003008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 3383265199 and 3383265208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246248 + ... + 259623.

It is an arithmetic number, because the mean of its divisors is an integer number (159349680).

Almost surely, 23383265248 is an apocalyptic number.

3383265248 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3383265248 is an abundant number, since it is smaller than the sum of its proper divisors (4265519392).

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

3383265248 is a wasteful number, since it uses less digits than its factorization.

3383265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505911 (or 505903 counting only the distinct ones).

The product of its digits is 829440, while the sum is 44.

The square root of 3383265248 is about 58165.8426226252. The cubic root of 3383265248 is about 1501.2234829735.

The spelling of 3383265248 in words is "three billion, three hundred eighty-three million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1672 3344 6688 505871 1011742 2023484 4046968 5564581 8093936 9611549 11129162 16187872 19223098 22258324 38446196 44516648 76892392 89033296 105727039 153784784 178066592 211454078 307569568 422908156 845816312 1691632624 3383265248