Search a number
-
+
334466923472 = 241119823121531
BaseRepresentation
bin1001101110111111100…
…10000011101111010000
31011222022120112011011022
410313133302003233100
520434442013022342
6413352454535012
733110254640603
oct4673762035720
91158276464138
10334466923472
1111993494a020
12549a4367468
1325703789096
141228c92633a
158a785409d2
hex4ddfc83bd0

334466923472 has 80 divisors (see below), whose sum is σ = 745059217920. Its totient is φ = 143852630400.

The previous prime is 334466923433. The next prime is 334466923493. The reversal of 334466923472 is 274329664433.

It is a super-2 number, since 2×3344669234722 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2691347 + ... + 2812877.

It is an arithmetic number, because the mean of its divisors is an integer number (9313240224).

Almost surely, 2334466923472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334466923472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372529608960).

334466923472 is an abundant number, since it is smaller than the sum of its proper divisors (410592294448).

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

334466923472 is a wasteful number, since it uses less digits than its factorization.

334466923472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122392 (or 122386 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 53.

The spelling of 334466923472 in words is "three hundred thirty-four billion, four hundred sixty-six million, nine hundred twenty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 823 836 1646 1672 3292 3344 6584 9053 13168 15637 18106 31274 36212 62548 72424 121531 125096 144848 172007 243062 250192 344014 486124 688028 972248 1336841 1376056 1944496 2309089 2673682 2752112 4618178 5347364 9236356 10694728 18472712 21389456 25399979 36945424 50799958 100020013 101599916 200040026 203199832 400080052 406399664 800160104 1100220143 1600320208 1900380247 2200440286 3800760494 4400880572 7601520988 8801761144 15203041976 17603522288 20904182717 30406083952 41808365434 83616730868 167233461736 334466923472