[go: up one dir, main page]

Search a number
-
+
3423202112 = 2611371131163
BaseRepresentation
bin1100110000001001…
…1110101101000000
322211120100200111102
43030002132231000
524002314431422
61323403033532
7150554511041
oct31402365500
98746320442
103423202112
1114a7343460
127b650b8a8
1342728a8a5
142468ca8c8
151507dc192
hexcc09eb40

3423202112 has 112 divisors (see below), whose sum is σ = 7684690752. Its totient is φ = 1499258880.

The previous prime is 3423202109. The next prime is 3423202199. The reversal of 3423202112 is 2112023243.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2942843 + ... + 2944005.

Almost surely, 23423202112 is an apocalyptic number.

3423202112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3423202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842345376).

3423202112 is an abundant number, since it is smaller than the sum of its proper divisors (4261488640).

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

3423202112 is a wasteful number, since it uses less digits than its factorization.

3423202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3423202112 is about 58508.1371434777. The cubic root of 3423202112 is about 1507.1073244014.

Adding to 3423202112 its reverse (2112023243), we get a palindrome (5535225355).

The spelling of 3423202112 in words is "three billion, four hundred twenty-three million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 113 148 176 226 296 352 407 452 592 704 814 904 1163 1184 1243 1628 1808 2326 2368 2486 3256 3616 4181 4652 4972 6512 7232 8362 9304 9944 12793 13024 16724 18608 19888 25586 26048 33448 37216 39776 43031 45991 51172 66896 74432 79552 86062 91982 102344 131419 133792 172124 183964 204688 262838 267584 344248 367928 409376 473341 525676 688496 735856 818752 946682 1051352 1376992 1445609 1471712 1893364 2102704 2753984 2891218 2943424 3786728 4205408 4862503 5782436 7573456 8410816 9725006 11564872 15146912 19450012 23129744 30293824 38900024 46259488 53487533 77800048 92518976 106975066 155600096 213950132 311200192 427900264 855800528 1711601056 3423202112