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328773840 = 24355325847
BaseRepresentation
bin10011100110001…
…011000011010000
3211220122102220220
4103212023003100
51133131230330
652342433040
711101350213
oct2346130320
9756572826
10328773840
1115964771a
1292132780
1353163945
143194377a
151dce4710
hex1398b0d0

328773840 has 80 divisors (see below), whose sum is σ = 1038469248. Its totient is φ = 86015488.

The previous prime is 328773827. The next prime is 328773847. The reversal of 328773840 is 48377823.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 328773792 and 328773801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328773847) 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, 204 + ... + 25643.

Almost surely, 2328773840 is an apocalyptic number.

328773840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328773840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519234624).

328773840 is an abundant number, since it is smaller than the sum of its proper divisors (709695408).

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

328773840 is a wasteful number, since it uses less digits than its factorization.

328773840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25916 (or 25910 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 328773840 is about 18132.1217732509. The cubic root of 328773840 is about 690.1853734241.

The spelling of 328773840 in words is "three hundred twenty-eight million, seven hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 25847 51694 77541 103388 129235 155082 206776 258470 310164 387705 413552 516940 620328 775410 1033880 1240656 1369891 1550820 2067760 2739782 3101640 4109673 5479564 6203280 6849455 8219346 10959128 13698910 16438692 20548365 21918256 27397820 32877384 41096730 54795640 65754768 82193460 109591280 164386920 328773840