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3033132340 = 225725995167
BaseRepresentation
bin1011010011001001…
…1110110100110100
321211101101002100211
42310302132310310
522202440213330
61220550315204
7135110125300
oct26462366464
97741332324
103033132340
111317140247
12707958b04
13394515184
1420ab8cd00
1512b43ad2a
hexb4c9ed34

3033132340 has 72 divisors (see below), whose sum is σ = 7423315200. Its totient is φ = 1037994048.

The previous prime is 3033132331. The next prime is 3033132343. The reversal of 3033132340 is 432313303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3033132343) 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 23 ways as a sum of consecutive naturals, for example, 584437 + ... + 589603.

It is an arithmetic number, because the mean of its divisors is an integer number (103101600).

Almost surely, 23033132340 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 3033132340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711657600).

3033132340 is an abundant number, since it is smaller than the sum of its proper divisors (4390182860).

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

3033132340 is a wasteful number, since it uses less digits than its factorization.

3033132340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5789 (or 5780 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 22.

The square root of 3033132340 is about 55073.8807421449. The cubic root of 3033132340 is about 1447.5395991843.

Adding to 3033132340 its reverse (432313303), we get a palindrome (3465445643).

The spelling of 3033132340 in words is "three billion, thirty-three million, one hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 599 980 1198 2396 2995 4193 5167 5990 8386 10334 11980 16772 20668 20965 25835 29351 36169 41930 51670 58702 72338 83860 103340 117404 144676 146755 180845 253183 293510 361690 506366 587020 723380 1012732 1265915 2531830 3095033 5063660 6190066 12380132 15475165 21665231 30950330 43330462 61900660 86660924 108326155 151656617 216652310 303313234 433304620 606626468 758283085 1516566170 3033132340