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328895964 = 22341277993
BaseRepresentation
bin10011100110101…
…000110111011100
3211220212122110000
4103212220313130
51133144132324
652345214300
711102366235
oct2346506734
9756778400
10328895964
11159720451
1292191390
13531a73c7
143197608c
151dd1a9c9
hex139a8ddc

328895964 has 60 divisors (see below), whose sum is σ = 866677504. Its totient is φ = 108755136.

The previous prime is 328895953. The next prime is 328895971. The reversal of 328895964 is 469598823.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 328895964.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37152 + ... + 45144.

Almost surely, 2328895964 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 328895964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433338752).

328895964 is an abundant number, since it is smaller than the sum of its proper divisors (537781540).

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

328895964 is a wasteful number, since it uses less digits than its factorization.

328895964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8136 (or 8125 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 328895964 is about 18135.4890752910. The cubic root of 328895964 is about 690.2708199672.

The spelling of 328895964 in words is "three hundred twenty-eight million, eight hundred ninety-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 127 162 254 324 381 508 762 1143 1524 2286 3429 4572 6858 7993 10287 13716 15986 20574 23979 31972 41148 47958 71937 95916 143874 215811 287748 431622 647433 863244 1015111 1294866 2030222 2589732 3045333 4060444 6090666 9135999 12181332 18271998 27407997 36543996 54815994 82223991 109631988 164447982 328895964