Search a number
-
+
328017193740 = 223253375153993
BaseRepresentation
bin1001100010111110101…
…10010010101100001100
31011100200002012221021100
410301133112102230030
520333234400144430
6410404454503100
732461400100045
oct4613726225414
91140602187240
10328017193740
11117125177675
12536a4364a90
1324c16489662
1411c3a0c98cc
1587ec1be960
hex4c5f592b0c

328017193740 has 72 divisors (see below), whose sum is σ = 995033396448. Its totient is φ = 87467040000.

The previous prime is 328017193711. The next prime is 328017193741. The reversal of 328017193740 is 47391710823.

328017193740 is a `hidden beast` number, since 32 + 80 + 171 + 9 + 374 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (328017193741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6048184 + ... + 6102176.

It is an arithmetic number, because the mean of its divisors is an integer number (13819908284).

Almost surely, 2328017193740 is an apocalyptic number.

328017193740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328017193740 is an abundant number, since it is smaller than the sum of its proper divisors (667016202708).

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

328017193740 is a wasteful number, since it uses less digits than its factorization.

328017193740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87759 (or 87754 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 328017193740 in words is "three hundred twenty-eight billion, seventeen million, one hundred ninety-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 33751 53993 67502 101253 107986 135004 161979 168755 202506 215972 269965 303759 323958 337510 405012 485937 506265 539930 607518 647916 675020 809895 971874 1012530 1079860 1215036 1518795 1619790 1943748 2025060 2429685 3037590 3239580 4859370 6075180 9718740 1822317743 3644635486 5466953229 7289270972 9111588715 10933906458 16400859687 18223177430 21867812916 27334766145 32801719374 36446354860 54669532290 65603438748 82004298435 109339064580 164008596870 328017193740