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3428587536 = 2431137223787
BaseRepresentation
bin1100110001011100…
…0001100000010000
322211221111021220120
43030113001200100
524010204300121
61324114310240
7150651341013
oct31427014020
98757437816
103428587536
1114aa391620
127b8288380
13428424c2a
142474cd37a
15151002bc6
hexcc5c1810

3428587536 has 160 divisors (see below), whose sum is σ = 9980694528. Its totient is φ = 1005073920.

The previous prime is 3428587493. The next prime is 3428587541. The reversal of 3428587536 is 6357858243.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4356135 + ... + 4356921.

Almost surely, 23428587536 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 3428587536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990347264).

3428587536 is an abundant number, since it is smaller than the sum of its proper divisors (6552106992).

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

3428587536 is a wasteful number, since it uses less digits than its factorization.

3428587536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1063 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 51.

The square root of 3428587536 is about 58554.1419201067. The cubic root of 3428587536 is about 1507.8972436180.

The spelling of 3428587536 in words is "three billion, four hundred twenty-eight million, five hundred eighty-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 223 264 296 407 444 446 528 592 669 787 814 888 892 1221 1338 1574 1628 1776 1784 2361 2442 2453 2676 3148 3256 3568 4722 4884 4906 5352 6296 6512 7359 8251 8657 9444 9768 9812 10704 12592 14718 16502 17314 18888 19536 19624 24753 25971 29119 29436 33004 34628 37776 39248 49506 51942 58238 58872 66008 69256 87357 90761 99012 103884 116476 117744 132016 138512 174714 175501 181522 198024 207768 232952 272283 320309 349428 351002 363044 396048 415536 465904 526503 544566 640618 698856 702004 726088 960927 1053006 1089132 1281236 1397712 1404008 1452176 1921854 1930511 2106012 2178264 2562472 2808016 3843708 3861022 4212024 4356528 5124944 5791533 6493537 7687416 7722044 8424048 11583066 12987074 15374832 15444088 19480611 23166132 25974148 30888176 38961222 46332264 51948296 71428907 77922444 92664528 103896592 142857814 155844888 214286721 285715628 311689776 428573442 571431256 857146884 1142862512 1714293768 3428587536