Search a number
-
+
3444504180 = 22351325717183
BaseRepresentation
bin1100110101001110…
…1111011001110100
322220001102221102220
43031103233121310
524023243113210
61325443402340
7151233542145
oct31523573164
98801387386
103444504180
111508372a77
128016833b0
1342b808870
14249673acc
151525e8c70
hexcd4ef674

3444504180 has 96 divisors (see below), whose sum is σ = 10427526144. Its totient is φ = 844529664.

The previous prime is 3444504179. The next prime is 3444504199. The reversal of 3444504180 is 814054443.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191869 + ... + 209051.

It is an arithmetic number, because the mean of its divisors is an integer number (108620064).

Almost surely, 23444504180 is an apocalyptic number.

3444504180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444504180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5213763072).

3444504180 is an abundant number, since it is smaller than the sum of its proper divisors (6983021964).

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

3444504180 is a wasteful number, since it uses less digits than its factorization.

3444504180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17465 (or 17463 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 3444504180 is about 58689.8984493925. The cubic root of 3444504180 is about 1510.2270290049.

The spelling of 3444504180 in words is "three billion, four hundred forty-four million, five hundred four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 257 260 390 514 771 780 1028 1285 1542 2570 3084 3341 3855 5140 6682 7710 10023 13364 15420 16705 17183 20046 33410 34366 40092 50115 51549 66820 68732 85915 100230 103098 171830 200460 206196 223379 257745 343660 446758 515490 670137 893516 1030980 1116895 1340274 2233790 2680548 3350685 4416031 4467580 6701370 8832062 13248093 13402740 17664124 22080155 26496186 44160310 52992372 57408403 66240465 88320620 114816806 132480930 172225209 229633612 264961860 287042015 344450418 574084030 688900836 861126045 1148168060 1722252090 3444504180