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3682817112 = 2331331503757
BaseRepresentation
bin1101101110000011…
…0101010001011000
3100111122212111022210
43123200311101120
530020300121422
61405235315120
7160156300062
oct33340652130
910448774283
103682817112
11161a944007
1286944baa0
13468cb8830
1426d18a732
151684c010c
hexdb835458

3682817112 has 128 divisors (see below), whose sum is σ = 10269020160. Its totient is φ = 1092994560.

The previous prime is 3682817071. The next prime is 3682817147. The reversal of 3682817112 is 2117182863.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4864638 + ... + 4865394.

It is an arithmetic number, because the mean of its divisors is an integer number (80226720).

Almost surely, 23682817112 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 3682817112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134510080).

3682817112 is an abundant number, since it is smaller than the sum of its proper divisors (6586203048).

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

3682817112 is a wasteful number, since it uses less digits than its factorization.

3682817112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1309 counting only the distinct ones).

The product of its digits is 32256, while the sum is 39.

The square root of 3682817112 is about 60686.2184684464. The cubic root of 3682817112 is about 1544.2823843450.

Adding to 3682817112 its reverse (2117182863), we get a palindrome (5799999975).

The spelling of 3682817112 in words is "three billion, six hundred eighty-two million, eight hundred seventeen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 503 744 757 806 1006 1209 1509 1514 1612 2012 2271 2418 3018 3028 3224 4024 4542 4836 6036 6056 6539 9084 9672 9841 12072 13078 15593 18168 19617 19682 23467 26156 29523 31186 39234 39364 46779 46934 52312 59046 62372 70401 78468 78728 93558 93868 118092 124744 140802 156936 187116 187736 202709 236184 281604 305071 374232 380771 405418 563208 608127 610142 761542 810836 915213 1142313 1216254 1220284 1523084 1621672 1830426 2284626 2432508 2440568 3046168 3660852 4569252 4865016 4950023 7321704 9138504 9900046 11803901 14850069 19800092 23607802 29700138 35411703 39600184 47215604 59400276 70823406 94431208 118800552 141646812 153450713 283293624 306901426 460352139 613802852 920704278 1227605704 1841408556 3682817112