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3444334504 = 23131717311261
BaseRepresentation
bin1100110101001100…
…0101111110101000
322220001010022200121
43031103011332220
524023222201004
61325440013024
7151232234362
oct31523057650
98801108617
103444334504
111508267546
12801601174
1342b779570
1424962bd32
151525b3854
hexcd4c5fa8

3444334504 has 64 divisors (see below), whose sum is σ = 7407242640. Its totient is φ = 1487400960.

The previous prime is 3444334483. The next prime is 3444334513. The reversal of 3444334504 is 4054334443.

It can be written as a sum of positive squares in 8 ways, for example, as 3237837604 + 206496900 = 56902^2 + 14370^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 3444334504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 300234 + ... + 311494.

Almost surely, 23444334504 is an apocalyptic number.

3444334504 is a gapful number since it is divisible by the number (34) 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 3444334504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703621320).

3444334504 is an abundant number, since it is smaller than the sum of its proper divisors (3962908136).

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

3444334504 is a wasteful number, since it uses less digits than its factorization.

3444334504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11470 (or 11466 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

The square root of 3444334504 is about 58688.4529017421. The cubic root of 3444334504 is about 1510.2022307102.

Adding to 3444334504 its reverse (4054334443), we get a palindrome (7498668947).

The spelling of 3444334504 in words is "three billion, four hundred forty-four million, three hundred thirty-four thousand, five hundred four".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 173 221 346 442 692 884 1384 1768 2249 2941 4498 5882 8996 11261 11764 17992 22522 23528 38233 45044 76466 90088 146393 152932 191437 292786 305864 382874 585572 765748 1171144 1531496 1948153 2488681 3896306 4977362 7792612 9954724 15585224 19909448 25325989 33118601 50651978 66237202 101303956 132474404 202607912 264948808 430541813 861083626 1722167252 3444334504