Search a number
-
+
3428589240 = 2332517560227
BaseRepresentation
bin1100110001011100…
…0001111010111000
322211221111101020200
43030113001322320
524010204323430
61324114322200
7150651345666
oct31427017270
98757441220
103428589240
1114aa39292a
127b8289360
1342842593b
142474cdc36
15151003460
hexcc5c1eb8

3428589240 has 96 divisors (see below), whose sum is σ = 11798401680. Its totient is φ = 860507136.

The previous prime is 3428589233. The next prime is 3428589253. The reversal of 3428589240 is 429858243.

3428589240 is a `hidden beast` number, since 3 + 4 + 28 + 589 + 2 + 40 = 666.

3428589240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273994 + ... + 286233.

Almost surely, 23428589240 is an apocalyptic number.

3428589240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3428589240 is an abundant number, since it is smaller than the sum of its proper divisors (8369812440).

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

3428589240 is a wasteful number, since it uses less digits than its factorization.

3428589240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560261 (or 560254 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3428589240 is about 58554.1564707408. The cubic root of 3428589240 is about 1507.8974934251.

The spelling of 3428589240 in words is "three billion, four hundred twenty-eight million, five hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 560227 1120454 1680681 2240908 2801135 3361362 4481816 5042043 5602270 6722724 8403405 9523859 10084086 11204540 13445448 16806810 19047718 20168172 22409080 25210215 28571577 33613620 38095436 40336344 47619295 50420430 57143154 67227240 76190872 85714731 95238590 100840860 114286308 142857885 171429462 190477180 201681720 228572616 285715770 342858924 380954360 428573655 571431540 685717848 857147310 1142863080 1714294620 3428589240