Search a number
-
+
3374333160 = 2335113317723
BaseRepresentation
bin1100100100100000…
…0011110011101000
322201011101212220020
43021020003303220
523402312130120
61314455400440
7146422234002
oct31110036350
98634355806
103374333160
1114817a54a0
127a2083120
1341a10a253
14240209372
1514b387640
hexc9203ce8

3374333160 has 128 divisors (see below), whose sum is σ = 11078069760. Its totient is φ = 815443200.

The previous prime is 3374333159. The next prime is 3374333161. The reversal of 3374333160 is 613334733.

It is an interprime number because it is at equal distance from previous prime (3374333159) and next prime (3374333161).

It is a super-2 number, since 2×33743331602 = 22772248549351171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3374333161) by changing a digit.

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, 433059 + ... + 440781.

It is an arithmetic number, because the mean of its divisors is an integer number (86547420).

Almost surely, 23374333160 is an apocalyptic number.

3374333160 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 3374333160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5539034880).

3374333160 is an abundant number, since it is smaller than the sum of its proper divisors (7703736600).

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

3374333160 is a wasteful number, since it uses less digits than its factorization.

3374333160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8079 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 33.

The square root of 3374333160 is about 58089.0106646688. The cubic root of 3374333160 is about 1499.9012023817.

Adding to 3374333160 its reverse (613334733), we get a palindrome (3987667893).

The spelling of 3374333160 in words is "three billion, three hundred seventy-four million, three hundred thirty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 331 440 660 662 993 1320 1324 1655 1986 2648 3310 3641 3972 4965 6620 7282 7723 7944 9930 10923 13240 14564 15446 18205 19860 21846 23169 29128 30892 36410 38615 39720 43692 46338 54615 61784 72820 77230 84953 87384 92676 109230 115845 145640 154460 169906 185352 218460 231690 254859 308920 339812 424765 436920 463380 509718 679624 849530 926760 1019436 1274295 1699060 2038872 2548590 2556313 3398120 5097180 5112626 7668939 10194360 10225252 12781565 15337878 20450504 25563130 28119443 30675756 38344695 51126260 56238886 61351512 76689390 84358329 102252520 112477772 140597215 153378780 168716658 224955544 281194430 306757560 337433316 421791645 562388860 674866632 843583290 1124777720 1687166580 3374333160