Search a number
-
+
3332053140 = 22351319992137
BaseRepresentation
bin1100011010011011…
…0001100010010100
322121012211211121120
43012212301202110
523311001200030
61310345243540
7145366661433
oct30646614224
98535754546
103332053140
11145a947929
1278ba935b0
134114259a0
1423876111a
151477d5010
hexc69b1894

3332053140 has 96 divisors (see below), whose sum is σ = 10057152000. Its totient is φ = 819403776.

The previous prime is 3332053139. The next prime is 3332053147. The reversal of 3332053140 is 413502333.

It is a happy number.

It is a super-2 number, since 2×33320531402 = 22205156255567719200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3332053140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3332053147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558152 + ... + 1560288.

It is an arithmetic number, because the mean of its divisors is an integer number (104762000).

Almost surely, 23332053140 is an apocalyptic number.

3332053140 is a gapful number since it is divisible by the number (30) 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 3332053140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028576000).

3332053140 is an abundant number, since it is smaller than the sum of its proper divisors (6725098860).

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

3332053140 is a wasteful number, since it uses less digits than its factorization.

3332053140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 3332053140 is about 57723.9390547804. The cubic root of 3332053140 is about 1493.6103222160.

Adding to 3332053140 its reverse (413502333), we get a palindrome (3745555473).

The spelling of 3332053140 in words is "three billion, three hundred thirty-two million, fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1999 2137 3998 4274 5997 6411 7996 8548 9995 10685 11994 12822 19990 21370 23988 25644 25987 27781 29985 32055 39980 42740 51974 55562 59970 64110 77961 83343 103948 111124 119940 128220 129935 138905 155922 166686 259870 277810 311844 333372 389805 416715 519740 555620 779610 833430 1559220 1666860 4271863 8543726 12815589 17087452 21359315 25631178 42718630 51262356 55534219 64077945 85437260 111068438 128155890 166602657 222136876 256311780 277671095 333205314 555342190 666410628 833013285 1110684380 1666026570 3332053140