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3428489217924 = 2232113227312
BaseRepresentation
bin110001111001000001111…
…000011100011110000100
3110010202112022022212102100
4301321001320130132010
5422133021214433144
611143005354312100
7502462105341351
oct61710170343604
913122468285370
103428489217924
111102017868181
1247456a128630
131bb3c7537534
14bbd229d5628
155e2b22dc269
hex31e41e1c784

3428489217924 has 81 divisors (see below), whose sum is σ = 8747034761829. Its totient is φ = 1132301439360.

The previous prime is 3428489217919. The next prime is 3428489217941. The reversal of 3428489217924 is 4297129848243.

It is a happy number.

The square root of 3428489217924 is 1851618.

It is a perfect power (a square), and thus also a powerful number.

3428489217924 is a `hidden beast` number, since 3 + 42 + 8 + 489 + 21 + 7 + 92 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60412724100 + 3368076493824 = 245790^2 + 1835232^2 .

It is a super-2 number, since 2×34284892179242 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1255395639 + ... + 1255398369.

Almost surely, 23428489217924 is an apocalyptic number.

3428489217924 is the 1851618-th square number.

It is an amenable number.

3428489217924 is an abundant number, since it is smaller than the sum of its proper divisors (5318545543905).

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

3428489217924 is an equidigital number, since it uses as much as digits as its factorization.

3428489217924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5698 (or 2849 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 3428489217924 in words is "three trillion, four hundred twenty-eight billion, four hundred eighty-nine million, two hundred seventeen thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 2731 4068 5462 8193 10924 12769 16386 24579 25538 32772 38307 49158 51076 76614 98316 114921 153228 229842 308603 459684 617206 925809 1234412 1851618 2777427 3703236 5554854 7458361 11109708 14916722 22375083 29833444 34872139 44750166 67125249 69744278 89500332 104616417 134250498 139488556 209232834 268500996 313849251 418465668 627698502 842794793 1255397004 1685589586 2528384379 3371179172 5056768758 7585153137 10113537516 15170306274 30340612548 95235811609 190471623218 285707434827 380943246436 571414869654 857122304481 1142829739308 1714244608962 3428489217924