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3390665712 = 243765915313
BaseRepresentation
bin1100101000011001…
…0111001111110000
322202022010122221120
43022012113033300
523421002300322
61320241422240
7150011116530
oct31206271760
98668118846
103390665712
11148aa40375
127a763a980
13420608295
1424245b4c0
1514ca11a5c
hexca1973f0

3390665712 has 80 divisors (see below), whose sum is σ = 10026382080. Its totient is φ = 967228416.

The previous prime is 3390665711. The next prime is 3390665743. The reversal of 3390665712 is 2175660933.

3390665712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×33906657122 = 22993227941064933888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3390665711) 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, 213768 + ... + 229080.

It is an arithmetic number, because the mean of its divisors is an integer number (125329776).

Almost surely, 23390665712 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 3390665712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5013191040).

3390665712 is an abundant number, since it is smaller than the sum of its proper divisors (6635716368).

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

3390665712 is a wasteful number, since it uses less digits than its factorization.

3390665712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15990 (or 15984 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 3390665712 is about 58229.4230780282. The cubic root of 3390665712 is about 1502.3172645688.

The spelling of 3390665712 in words is "three billion, three hundred ninety million, six hundred sixty-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 659 1318 1977 2636 3954 4613 5272 7908 9226 10544 13839 15313 15816 18452 27678 30626 31632 36904 45939 55356 61252 73808 91878 107191 110712 122504 183756 214382 221424 245008 321573 367512 428764 643146 735024 857528 1286292 1715056 2572584 5145168 10091267 20182534 30273801 40365068 60547602 70638869 80730136 121095204 141277738 161460272 211916607 242190408 282555476 423833214 484380816 565110952 847666428 1130221904 1695332856 3390665712