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3114403220 = 22531371271069
BaseRepresentation
bin1011100110100010…
…0000010110010100
322001001022002001102
42321220200112110
522334241400340
61233012245232
7140114663525
oct27150402624
98031262042
103114403220
111358aaa265
1272b010818
133a82cbb56
142178a684c
15133641215
hexb9a20594

3114403220 has 96 divisors (see below), whose sum is σ = 6994821120. Its totient is φ = 1162667520.

The previous prime is 3114403219. The next prime is 3114403261. The reversal of 3114403220 is 223044113.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3114403192 and 3114403201.

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 31 ways as a sum of consecutive naturals, for example, 2912846 + ... + 2913914.

It is an arithmetic number, because the mean of its divisors is an integer number (72862720).

Almost surely, 23114403220 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 3114403220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3497410560).

3114403220 is an abundant number, since it is smaller than the sum of its proper divisors (3880417900).

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

3114403220 is a wasteful number, since it uses less digits than its factorization.

3114403220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3114403220 is about 55806.8384698506. The cubic root of 3114403220 is about 1460.3544551290.

Adding to 3114403220 its reverse (223044113), we get a palindrome (3337447333).

The spelling of 3114403220 in words is "three billion, one hundred fourteen million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 127 148 155 185 254 310 370 508 620 635 740 1069 1147 1270 2138 2294 2540 3937 4276 4588 4699 5345 5735 7874 9398 10690 11470 15748 18796 19685 21380 22940 23495 33139 39370 39553 46990 66278 78740 79106 93980 132556 135763 145669 158212 165695 197765 271526 291338 331390 395530 543052 582676 662780 678815 728345 791060 1226143 1357630 1456690 2452286 2715260 2913380 4208653 4904572 5023231 6130715 8417306 10046462 12261430 16834612 20092924 21043265 24522860 25116155 42086530 50232310 84173060 100464620 155720161 311440322 622880644 778600805 1557201610 3114403220