Search a number
-
+
3382618096 = 2411132364279
BaseRepresentation
bin1100100110011110…
…1010011111110000
322201201222210200201
43021213222133300
523411422234341
61315353124544
7146552531224
oct31147523760
98651883621
103382618096
111486444050
127a49b9754
1341ba4b290
14241364784
1514be72331
hexc99ea7f0

3382618096 has 80 divisors (see below), whose sum is σ = 8034485760. Its totient is φ = 1357551360.

The previous prime is 3382618069. The next prime is 3382618123. The reversal of 3382618096 is 6908162833.

It is an interprime number because it is at equal distance from previous prime (3382618069) and next prime (3382618123).

It is a super-2 number, since 2×33826180962 = 22884210366773330432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20485 + ... + 84763.

It is an arithmetic number, because the mean of its divisors is an integer number (100431072).

Almost surely, 23382618096 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 3382618096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017242880).

3382618096 is an abundant number, since it is smaller than the sum of its proper divisors (4651867664).

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

3382618096 is a wasteful number, since it uses less digits than its factorization.

3382618096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64334 (or 64328 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The square root of 3382618096 is about 58160.2793665918. The cubic root of 3382618096 is about 1501.1277587092.

The spelling of 3382618096 in words is "three billion, three hundred eighty-two million, six hundred eighteen thousand, ninety-six".

Divisors: 1 2 4 8 11 13 16 22 23 26 44 46 52 88 92 104 143 176 184 208 253 286 299 368 506 572 598 1012 1144 1196 2024 2288 2392 3289 4048 4784 6578 13156 26312 52624 64279 128558 257116 514232 707069 835627 1028464 1414138 1478417 1671254 2828276 2956834 3342508 5656552 5913668 6685016 9191897 11313104 11827336 13370032 16262587 18383794 19219421 23654672 32525174 36767588 38438842 65050348 73535176 76877684 130100696 147070352 153755368 211413631 260201392 307510736 422827262 845654524 1691309048 3382618096