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11274312 = 233729587
BaseRepresentation
bin101011000000…
…100001001000
3210012210110010
4223000201020
510341234222
61041351520
7164554500
oct53004110
923183403
1011274312
116400615
1239385a0
1324498ba
1416d6a00
15eca80c
hexac0848

11274312 has 48 divisors (see below), whose sum is σ = 32790960. Its totient is φ = 3220896.

The previous prime is 11274293. The next prime is 11274317. The reversal of 11274312 is 21347211.

It is a super-2 number, since 2×112743122 = 254220222146688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11274317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3618 + ... + 5969.

It is an arithmetic number, because the mean of its divisors is an integer number (683145).

Almost surely, 211274312 is an apocalyptic number.

11274312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11274312 is an abundant number, since it is smaller than the sum of its proper divisors (21516648).

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

11274312 is a wasteful number, since it uses less digits than its factorization.

11274312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9599 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 11274312 is about 3357.7242292958. The cubic root of 11274312 is about 224.2315314348.

The spelling of 11274312 in words is "eleven million, two hundred seventy-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 9587 19174 28761 38348 57522 67109 76696 115044 134218 201327 230088 268436 402654 469763 536872 805308 939526 1409289 1610616 1879052 2818578 3758104 5637156 11274312