Search a number
-
+
3342245140 = 2251373293601
BaseRepresentation
bin1100011100110110…
…1001110100010100
322121221000122102001
43013031221310110
523321103321030
61311351525044
7145552420633
oct30715516424
98557018361
103342245140
111465679273
12793389784
13413583a60
14239c5551a
15148649cca
hexc7369d14

3342245140 has 96 divisors (see below), whose sum is σ = 7701101856. Its totient is φ = 1210982400.

The previous prime is 3342245111. The next prime is 3342245147. The reversal of 3342245140 is 415422433.

It is a happy number.

3342245140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 87086224 + 3255158916 = 9332^2 + 57054^2 .

It is a super-2 number, since 2×33422451402 = 22341205151707239200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342245099 and 3342245108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3342245147) 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, 5560840 + ... + 5561440.

It is an arithmetic number, because the mean of its divisors is an integer number (80219811).

Almost surely, 23342245140 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 3342245140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3850550928).

3342245140 is an abundant number, since it is smaller than the sum of its proper divisors (4358856716).

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

3342245140 is a wasteful number, since it uses less digits than its factorization.

3342245140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 3342245140 is about 57812.1539124776. The cubic root of 3342245140 is about 1495.1316446529.

Adding to 3342245140 its reverse (415422433), we get a palindrome (3757667573).

The spelling of 3342245140 in words is "three billion, three hundred forty-two million, two hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 73 130 146 260 292 293 365 586 601 730 949 1172 1202 1460 1465 1898 2404 2930 3005 3796 3809 4745 5860 6010 7618 7813 9490 12020 15236 15626 18980 19045 21389 31252 38090 39065 42778 43873 76180 78130 85556 87746 106945 156260 175492 176093 213890 219365 278057 352186 427780 438730 556114 570349 704372 877460 880465 1112228 1140698 1390285 1760930 2281396 2289209 2780570 2851745 3521860 4578418 5561140 5703490 9156836 11406980 11446045 12854789 22892090 25709578 45784180 51419156 64273945 128547890 167112257 257095780 334224514 668449028 835561285 1671122570 3342245140