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3340771416 = 23327328707
BaseRepresentation
bin1100011100100000…
…0010000001011000
322121211020202211200
43013020002001120
523320214141131
61311300154200
7145534042233
oct30710020130
98554222750
103340771416
111464862014
12792998960
13413189028
1423999041a
151484582e6
hexc7202058

3340771416 has 72 divisors (see below), whose sum is σ = 9174618180. Its totient is φ = 1098209664.

The previous prime is 3340771391. The next prime is 3340771433. The reversal of 3340771416 is 6141770433.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×33407714162 = 22321507307925290112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 379335 + ... + 388041.

Almost surely, 23340771416 is an apocalyptic number.

3340771416 is a gapful number since it is divisible by the number (36) 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 3340771416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4587309090).

3340771416 is an abundant number, since it is smaller than the sum of its proper divisors (5833846764).

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

3340771416 is a wasteful number, since it uses less digits than its factorization.

3340771416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8865 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 3340771416 is about 57799.4067097578. The cubic root of 3340771416 is about 1494.9118587275.

The spelling of 3340771416 in words is "three billion, three hundred forty million, seven hundred seventy-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 5329 8707 10658 15987 17414 21316 26121 31974 34828 42632 47961 52242 63948 69656 78363 95922 104484 127896 156726 191844 208968 313452 383688 626904 635611 1271222 1906833 2542444 3813666 5084888 5720499 7627332 11440998 15254664 22881996 45763992 46399603 92799206 139198809 185598412 278397618 371196824 417596427 556795236 835192854 1113590472 1670385708 3340771416