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328145136 = 24311896983
BaseRepresentation
bin10011100011110…
…001100011110000
3211212110111111120
4103203301203300
51133001121021
652321142240
711063121234
oct2343614360
9755414446
10328145136
11159258330
1291a8a980
1352ca3727
143181c5c4
151dc1d2c6
hex138f18f0

328145136 has 80 divisors (see below), whose sum is σ = 935297280. Its totient is φ = 98306560.

The previous prime is 328145087. The next prime is 328145141. The reversal of 328145136 is 631541823.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 328145097 and 328145106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43501 + ... + 50483.

It is an arithmetic number, because the mean of its divisors is an integer number (11691216).

Almost surely, 2328145136 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 328145136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467648640).

328145136 is an abundant number, since it is smaller than the sum of its proper divisors (607152144).

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

328145136 is a wasteful number, since it uses less digits than its factorization.

328145136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7094 (or 7088 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 328145136 is about 18114.7767306142. The cubic root of 328145136 is about 689.7451526822.

Adding to 328145136 its reverse (631541823), we get a palindrome (959686959).

It can be divided in two parts, 32814 and 5136, that added together give a triangular number (37950 = T275).

The spelling of 328145136 in words is "three hundred twenty-eight million, one hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 176 178 264 267 356 528 534 712 979 1068 1424 1958 2136 2937 3916 4272 5874 6983 7832 11748 13966 15664 20949 23496 27932 41898 46992 55864 76813 83796 111728 153626 167592 230439 307252 335184 460878 614504 621487 921756 1229008 1242974 1843512 1864461 2485948 3687024 3728922 4971896 6836357 7457844 9943792 13672714 14915688 20509071 27345428 29831376 41018142 54690856 82036284 109381712 164072568 328145136