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11034480 = 2435231999
BaseRepresentation
bin101010000101…
…111101110000
3202202121110110
4222011331300
510311100410
61032301320
7162535332
oct52057560
922677413
1011034480
116257406
123841840
1323946a2
141673452
15e7e720
hexa85f70

11034480 has 80 divisors (see below), whose sum is σ = 35712000. Its totient is φ = 2813184.

The previous prime is 11034469. The next prime is 11034509. The reversal of 11034480 is 8443011.

11034480 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4521 + ... + 6519.

It is an arithmetic number, because the mean of its divisors is an integer number (446400).

Almost surely, 211034480 is an apocalyptic number.

11034480 is a gapful number since it is divisible by the number (10) 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 11034480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17856000).

11034480 is an abundant number, since it is smaller than the sum of its proper divisors (24677520).

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

11034480 is a wasteful number, since it uses less digits than its factorization.

11034480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11034480 is about 3321.8187789222. The cubic root of 11034480 is about 222.6301389079.

Adding to 11034480 its reverse (8443011), we get a palindrome (19477491).

The spelling of 11034480 in words is "eleven million, thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 1999 2760 3998 5520 5997 7996 9995 11994 15992 19990 23988 29985 31984 39980 45977 47976 59970 79960 91954 95952 119940 137931 159920 183908 229885 239880 275862 367816 459770 479760 551724 689655 735632 919540 1103448 1379310 1839080 2206896 2758620 3678160 5517240 11034480