Search a number
-
+
3442300032 = 27337242279
BaseRepresentation
bin1100110100101101…
…0101010010000000
322212220021221220210
43031023111102000
524022212100112
61325324234120
7151206032103
oct31513252200
98786257823
103442300032
1115070a7a66
1280099b940
1342b216532
1424925c73a
15152310b3c
hexcd2d5480

3442300032 has 64 divisors (see below), whose sum is σ = 9390772800. Its totient is φ = 1116417024.

The previous prime is 3442300019. The next prime is 3442300033. The reversal of 3442300032 is 2300032443.

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

It is a junction number, because it is equal to n+sod(n) for n = 3442299981 and 3442300008.

It is not an unprimeable number, because it can be changed into a prime (3442300033) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 106932 + ... + 135347.

It is an arithmetic number, because the mean of its divisors is an integer number (146730825).

Almost surely, 23442300032 is an apocalyptic number.

3442300032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3442300032 is an abundant number, since it is smaller than the sum of its proper divisors (5948472768).

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

3442300032 is a wasteful number, since it uses less digits than its factorization.

3442300032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242333 (or 242321 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3442300032 is about 58671.1175281330. The cubic root of 3442300032 is about 1509.9048274153.

Adding to 3442300032 its reverse (2300032443), we get a palindrome (5742332475).

The spelling of 3442300032 in words is "three billion, four hundred forty-two million, three hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 7104 14208 242279 484558 726837 969116 1453674 1938232 2907348 3876464 5814696 7752928 8964323 11629392 15505856 17928646 23258784 26892969 31011712 35857292 46517568 53785938 71714584 93035136 107571876 143429168 215143752 286858336 430287504 573716672 860575008 1147433344 1721150016 3442300032