Search a number
-
+
3442344120 = 2332571134677
BaseRepresentation
bin1100110100101110…
…0000000010111000
322212220101012101200
43031023200002320
524022220002440
61325325214200
7151206304455
oct31513400270
98786335350
103442344120
1115071280a6
12800a01360
1342b230617
1424927082c
1515231dc30
hexcd2e00b8

3442344120 has 96 divisors (see below), whose sum is σ = 11345274720. Its totient is φ = 905022720.

The previous prime is 3442344119. The next prime is 3442344137. The reversal of 3442344120 is 214432443.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41779 + ... + 92898.

It is an arithmetic number, because the mean of its divisors is an integer number (118179945).

Almost surely, 23442344120 is an apocalyptic number.

3442344120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3442344120 is an abundant number, since it is smaller than the sum of its proper divisors (7902930600).

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

3442344120 is a wasteful number, since it uses less digits than its factorization.

3442344120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134765 (or 134758 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3442344120 is about 58671.4932484252. The cubic root of 3442344120 is about 1509.9112735317.

Adding to 3442344120 its reverse (214432443), we get a palindrome (3656776563).

The spelling of 3442344120 in words is "three billion, four hundred forty-two million, three hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 568 639 710 852 1065 1278 1420 1704 2130 2556 2840 3195 4260 5112 6390 8520 12780 25560 134677 269354 404031 538708 673385 808062 1077416 1212093 1346770 1616124 2020155 2424186 2693540 3232248 4040310 4848372 5387080 6060465 8080620 9562067 9696744 12120930 16161240 19124134 24241860 28686201 38248268 47810335 48483720 57372402 76496536 86058603 95620670 114744804 143431005 172117206 191241340 229489608 286862010 344234412 382482680 430293015 573724020 688468824 860586030 1147448040 1721172060 3442344120