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3371364256 = 251319735843
BaseRepresentation
bin1100100011110010…
…1110111110100000
322200221211001022211
43020330232332200
523401032124011
61314312011504
7146355060211
oct31074567640
98627731284
103371364256
111480057957
127a1090b94
1341960aac0
1423da75408
1514ae9cb21
hexc8f2efa0

3371364256 has 96 divisors (see below), whose sum is σ = 7628523840. Its totient is φ = 1453676544.

The previous prime is 3371364251. The next prime is 3371364281. The reversal of 3371364256 is 6524631733.

It is a super-2 number, since 2×33713642562 = 22732193893268867072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3371364251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 574071 + ... + 579913.

It is an arithmetic number, because the mean of its divisors is an integer number (79463790).

Almost surely, 23371364256 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 3371364256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814261920).

3371364256 is an abundant number, since it is smaller than the sum of its proper divisors (4257159584).

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

3371364256 is a wasteful number, since it uses less digits than its factorization.

3371364256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5950 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

The square root of 3371364256 is about 58063.4502591777. The cubic root of 3371364256 is about 1499.4611777295.

Adding to 3371364256 its reverse (6524631733), we get a palindrome (9895995989).

It can be divided in two parts, 33713 and 64256, that added together give a square (97969 = 3132).

The spelling of 3371364256 in words is "three billion, three hundred seventy-one million, three hundred sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 73 76 104 146 152 208 247 292 304 416 494 584 608 949 988 1168 1387 1898 1976 2336 2774 3796 3952 5548 5843 7592 7904 11096 11686 15184 18031 22192 23372 30368 36062 44384 46744 72124 75959 93488 111017 144248 151918 186976 222034 288496 303836 426539 444068 576992 607672 853078 888136 1215344 1443221 1706156 1776272 2430688 2886442 3412312 3552544 5545007 5772884 6824624 8104241 11090014 11545768 13649248 16208482 22180028 23091536 32416964 44360056 46183072 64833928 88720112 105355133 129667856 177440224 210710266 259335712 421420532 842841064 1685682128 3371364256