Search a number
-
+
3123034434 = 233135383939
BaseRepresentation
bin1011101000100101…
…1011100101000010
322001122112120212000
42322021123211002
522343444100214
61233521244430
7140251232442
oct27211334502
98048476760
103123034434
111362964aa3
12731a93716
133aa031690
14218ab2122
15134298809
hexba25b942

3123034434 has 64 divisors (see below), whose sum is σ = 7615036800. Its totient is φ = 942791616.

The previous prime is 3123034417. The next prime is 3123034441. The reversal of 3123034434 is 4344303213.

3123034434 is a `hidden beast` number, since 312 + 3 + 0 + 344 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3123034398 and 3123034407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4764 + ... + 79175.

It is an arithmetic number, because the mean of its divisors is an integer number (118984950).

Almost surely, 23123034434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3123034434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807518400).

3123034434 is an abundant number, since it is smaller than the sum of its proper divisors (4492002366).

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

3123034434 is a wasteful number, since it uses less digits than its factorization.

3123034434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84016 (or 84010 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

The square root of 3123034434 is about 55884.1161154044. The cubic root of 3123034434 is about 1461.7022794924.

Adding to 3123034434 its reverse (4344303213), we get a palindrome (7467337647).

The spelling of 3123034434 in words is "three billion, one hundred twenty-three million, thirty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 53 54 78 106 117 159 234 318 351 477 689 702 954 1378 1431 2067 2862 4134 6201 12402 18603 37206 83939 167878 251817 503634 755451 1091207 1510902 2182414 2266353 3273621 4448767 4532706 6547242 8897534 9820863 13346301 19641726 26692602 29462589 40038903 57833971 58925178 80077806 115667942 120116709 173501913 240233418 347003826 520505739 1041011478 1561517217 3123034434