Search a number
-
+
3331015040 = 2755998689
BaseRepresentation
bin1100011010001011…
…0100000110000000
322121010220002121102
43012202310012000
523310214440130
61310311113532
7145355106053
oct30642640600
98533802542
103331015040
11145a2a89a1
1278b6728a8
13411151322
14238570a9a
1514767c645
hexc68b4180

3331015040 has 64 divisors (see below), whose sum is σ = 7977420000. Its totient is φ = 1330028544.

The previous prime is 3331015033. The next prime is 3331015087. The reversal of 3331015040 is 405101333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33310150402 = 22191322393412403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 379016 + ... + 387704.

Almost surely, 23331015040 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 3331015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988710000).

3331015040 is an abundant number, since it is smaller than the sum of its proper divisors (4646404960).

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

3331015040 is an equidigital number, since it uses as much as digits as its factorization.

3331015040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9307 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 3331015040 is about 57714.9464177175. The cubic root of 3331015040 is about 1493.4551948456.

Adding to 3331015040 its reverse (405101333), we get a palindrome (3736116373).

The spelling of 3331015040 in words is "three billion, three hundred thirty-one million, fifteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 599 640 1198 2396 2995 4792 5990 8689 9584 11980 17378 19168 23960 34756 38336 43445 47920 69512 76672 86890 95840 139024 173780 191680 278048 347560 383360 556096 695120 1112192 1390240 2780480 5204711 5560960 10409422 20818844 26023555 41637688 52047110 83275376 104094220 166550752 208188440 333101504 416376880 666203008 832753760 1665507520 3331015040