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3442581144 = 2332193247739
BaseRepresentation
bin1100110100110001…
…1001111010011000
322212220211020112100
43031030121322120
524022300044034
61325334243400
7151211312502
oct31514317230
98786736470
103442581144
11150727a192
12800ab6560
1342b2b4482
142492d2d72
15152369099
hexcd319e98

3442581144 has 48 divisors (see below), whose sum is σ = 9372004200. Its totient is φ = 1141576704.

The previous prime is 3442581137. The next prime is 3442581151. The reversal of 3442581144 is 4411852443.

3442581144 is a `hidden beast` number, since 34 + 4 + 2 + 581 + 1 + 44 = 666.

3442581144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3442581137) and next prime (3442581151).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3442581099 and 3442581108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109974 + ... + 137765.

Almost surely, 23442581144 is an apocalyptic number.

It is an amenable number.

3442581144 is an abundant number, since it is smaller than the sum of its proper divisors (5929423056).

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

3442581144 is a wasteful number, since it uses less digits than its factorization.

3442581144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247944 (or 247937 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 3442581144 is about 58673.5131383830. The cubic root of 3442581144 is about 1509.9459279206.

The spelling of 3442581144 in words is "three billion, four hundred forty-two million, five hundred eighty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3474 4632 6948 13896 247739 495478 743217 990956 1486434 1981912 2229651 2972868 4459302 5945736 8918604 17837208 47813627 95627254 143440881 191254508 286881762 382509016 430322643 573763524 860645286 1147527048 1721290572 3442581144