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11349480 = 2335271349
BaseRepresentation
bin101011010010…
…110111101000
3210100121120010
4223102313220
510401140410
61043131520
7165316602
oct53226750
923317503
1011349480
11645203a
123973ba0
132474b8c
141716172
15ee2c20
hexad2de8

11349480 has 64 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3006720.

The previous prime is 11349451. The next prime is 11349509. The reversal of 11349480 is 8494311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11349451) and next prime (11349509).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 32346 + ... + 32694.

It is an arithmetic number, because the mean of its divisors is an integer number (535500).

Almost surely, 211349480 is an apocalyptic number.

11349480 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 11349480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

11349480 is an abundant number, since it is smaller than the sum of its proper divisors (22922520).

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

11349480 is a wasteful number, since it uses less digits than its factorization.

11349480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 11349480 is about 3368.8989299176. The cubic root of 11349480 is about 224.7287595673.

The spelling of 11349480 in words is "eleven million, three hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 349 542 698 813 1047 1084 1355 1396 1626 1745 2094 2168 2710 2792 3252 3490 4065 4188 5235 5420 6504 6980 8130 8376 10470 10840 13960 16260 20940 32520 41880 94579 189158 283737 378316 472895 567474 756632 945790 1134948 1418685 1891580 2269896 2837370 3783160 5674740 11349480