Search a number
-
+
3442044420 = 22325181105649
BaseRepresentation
bin1100110100101001…
…0110111000000100
322212212210222021200
43031022112320010
524022130410140
61325314542500
7151203615633
oct31512267004
98785728250
103442044420
111506a42a11
12800897a30
1342b157099
142491d351a
151522b0030
hexcd296e04

3442044420 has 72 divisors (see below), whose sum is σ = 10498651800. Its totient is φ = 912798720.

The previous prime is 3442044413. The next prime is 3442044467. The reversal of 3442044420 is 244402443.

It is a happy number.

3442044420 is a `hidden beast` number, since 34 + 4 + 204 + 4 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 133263936 + 3308780484 = 11544^2 + 57522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20245 + ... + 85404.

Almost surely, 23442044420 is an apocalyptic number.

3442044420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442044420 is an abundant number, since it is smaller than the sum of its proper divisors (7056607380).

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

3442044420 is a wasteful number, since it uses less digits than its factorization.

3442044420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105845 (or 105840 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 3442044420 is about 58668.9391415935. The cubic root of 3442044420 is about 1509.8674532427.

Adding to 3442044420 its reverse (244402443), we get a palindrome (3686446863).

The spelling of 3442044420 in words is "three billion, four hundred forty-two million, forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 181 362 543 724 905 1086 1629 1810 2172 2715 3258 3620 5430 6516 8145 10860 16290 32580 105649 211298 316947 422596 528245 633894 950841 1056490 1267788 1584735 1901682 2112980 3169470 3803364 4754205 6338940 9508410 19016820 19122469 38244938 57367407 76489876 95612345 114734814 172102221 191224690 229469628 286837035 344204442 382449380 573674070 688408884 860511105 1147348140 1721022210 3442044420