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3111696 = 243474
BaseRepresentation
bin1011110111101100010000
312212002110000
423313230100
51244033241
6150410000
735310000
oct13675420
95762400
103111696
111835955
121060900
1384c453
145b0000
15416eb6
hex2f7b10

3111696 has 125 divisors (see below), whose sum is σ = 10506551. Its totient is φ = 889056.

The previous prime is 3111679. The next prime is 3111721. The reversal of 3111696 is 6961113.

The square root of 3111696 is 1764.

It is a perfect power (a square, a biquadrate), and thus also a powerful number.

3111696 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a Duffinian number.

Its product of digits (972) is a multiple of the sum of its prime divisors (12).

3111696 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 444525 + ... + 444531.

Almost surely, 23111696 is an apocalyptic number.

3111696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3111696 is the 1764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3111696

3111696 is an abundant number, since it is smaller than the sum of its proper divisors (7394855).

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

3111696 is an frugal number, since it uses more digits than its factorization.

3111696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 12 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The cubic root of 3111696 is about 145.9931190852.

The spelling of 3111696 in words is "three million, one hundred eleven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 343 378 392 432 441 504 567 588 648 686 756 784 882 1008 1029 1134 1176 1296 1323 1372 1512 1764 2058 2268 2352 2401 2646 2744 3024 3087 3528 3969 4116 4536 4802 5292 5488 6174 7056 7203 7938 8232 9072 9261 9604 10584 12348 14406 15876 16464 18522 19208 21168 21609 24696 27783 28812 31752 37044 38416 43218 49392 55566 57624 63504 64827 74088 86436 111132 115248 129654 148176 172872 194481 222264 259308 345744 388962 444528 518616 777924 1037232 1555848 3111696