Search a number
-
+
3469449744 = 243237679719
BaseRepresentation
bin1100111011001011…
…1001101000010000
322221210101022022200
43032302321220100
524101134342434
61332134203200
7151655556555
oct31662715020
98853338280
103469449744
111520460a42
12809ab3500
13433a31057
1424cac8a2c
151548c5199
hexcecb9a10

3469449744 has 120 divisors (see below), whose sum is σ = 10121941440. Its totient is φ = 1108318464.

The previous prime is 3469449733. The next prime is 3469449749. The reversal of 3469449744 is 4479449643.

It is a super-2 number, since 2×34694497442 = 24074163052283331072, which contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3469449749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352117 + ... + 361835.

It is an arithmetic number, because the mean of its divisors is an integer number (84349512).

Almost surely, 23469449744 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 3469449744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060970720).

3469449744 is an abundant number, since it is smaller than the sum of its proper divisors (6652491696).

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

3469449744 is a wasteful number, since it uses less digits than its factorization.

3469449744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9828 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 54.

The square root of 3469449744 is about 58902.0351431086. The cubic root of 3469449744 is about 1513.8640191934.

The spelling of 3469449744 in words is "three billion, four hundred sixty-nine million, four hundred forty-nine thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 67 72 74 111 134 144 148 201 222 268 296 333 402 444 536 592 603 666 804 888 1072 1206 1332 1608 1776 2412 2479 2664 3216 4824 4958 5328 7437 9648 9719 9916 14874 19438 19832 22311 29157 29748 38876 39664 44622 58314 59496 77752 87471 89244 116628 118992 155504 174942 178488 233256 349884 356976 359603 466512 651173 699768 719206 1078809 1302346 1399536 1438412 1953519 2157618 2604692 2876824 3236427 3907038 4315236 5209384 5753648 5860557 6472854 7814076 8630472 10418768 11721114 12945708 15628152 17260944 23442228 24093401 25891416 31256304 46884456 48186802 51782832 72280203 93768912 96373604 144560406 192747208 216840609 289120812 385494416 433681218 578241624 867362436 1156483248 1734724872 3469449744