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3371385696 = 253710946027
BaseRepresentation
bin1100100011110011…
…0100001101100000
322200221212010201220
43020330310031200
523401033320241
61314312255040
7146355206550
oct31074641540
98627763656
103371385696
111480071a78
127a10a1480
134196177a3
1423da7d160
1514aea4166
hexc8f34360

3371385696 has 96 divisors (see below), whose sum is σ = 10207169280. Its totient is φ = 954395136.

The previous prime is 3371385673. The next prime is 3371385697. The reversal of 3371385696 is 6965831733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33713856962 = 22732483022386808832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3371385697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50235 + ... + 96261.

It is an arithmetic number, because the mean of its divisors is an integer number (106324680).

Almost surely, 23371385696 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 3371385696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5103584640).

3371385696 is an abundant number, since it is smaller than the sum of its proper divisors (6835783584).

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

3371385696 is a wasteful number, since it uses less digits than its factorization.

3371385696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46156 (or 46148 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 51.

The square root of 3371385696 is about 58063.6348844955. The cubic root of 3371385696 is about 1499.4643563022.

The spelling of 3371385696 in words is "three billion, three hundred seventy-one million, three hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 109 112 168 218 224 327 336 436 654 672 763 872 1308 1526 1744 2289 2616 3052 3488 4578 5232 6104 9156 10464 12208 18312 24416 36624 46027 73248 92054 138081 184108 276162 322189 368216 552324 644378 736432 966567 1104648 1288756 1472864 1933134 2209296 2577512 3866268 4418592 5016943 5155024 7732536 10033886 10310048 15050829 15465072 20067772 30101658 30930144 35118601 40135544 60203316 70237202 80271088 105355803 120406632 140474404 160542176 210711606 240813264 280948808 421423212 481626528 561897616 842846424 1123795232 1685692848 3371385696