Search a number
-
+
3352112040 = 233533782891
BaseRepresentation
bin1100011111001101…
…0010101110101000
322122121120221020210
43013303102232220
523331120041130
61312343221120
7146032324254
oct30763225650
98577527223
103352112040
1114701a8432
127967477a0
13415629b64
1423b2a3264
151494485b0
hexc7cd2ba8

3352112040 has 64 divisors (see below), whose sum is σ = 10086298560. Its totient is φ = 891233280.

The previous prime is 3352112033. The next prime is 3352112047. The reversal of 3352112040 is 402112533.

It is an interprime number because it is at equal distance from previous prime (3352112033) and next prime (3352112047).

It is a super-2 number, since 2×33521120402 = 22473310257425923200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3352111998 and 3352112016.

It is not an unprimeable number, because it can be changed into a prime (3352112047) 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, 1006 + ... + 81885.

It is an arithmetic number, because the mean of its divisors is an integer number (157598415).

Almost surely, 23352112040 is an apocalyptic number.

3352112040 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 3352112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5043149280).

3352112040 is an abundant number, since it is smaller than the sum of its proper divisors (6734186520).

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

3352112040 is a wasteful number, since it uses less digits than its factorization.

3352112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83242 (or 83238 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3352112040 is about 57897.4268858297. The cubic root of 3352112040 is about 1496.6014970447.

Adding to 3352112040 its reverse (402112533), we get a palindrome (3754224573).

The spelling of 3352112040 in words is "three billion, three hundred fifty-two million, one hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 337 674 1011 1348 1685 2022 2696 3370 4044 5055 6740 8088 10110 13480 20220 40440 82891 165782 248673 331564 414455 497346 663128 828910 994692 1243365 1657820 1989384 2486730 3315640 4973460 9946920 27934267 55868534 83802801 111737068 139671335 167605602 223474136 279342670 335211204 419014005 558685340 670422408 838028010 1117370680 1676056020 3352112040