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3117024 = 253279137
BaseRepresentation
bin1011111000111111100000
312212100202100
423320333200
51244221044
6150450400
735331351
oct13707740
95770670
103117024
111839959
121063a00
138519c1
145b1d28
15418869
hex2f8fe0

3117024 has 72 divisors (see below), whose sum is σ = 9041760. Its totient is φ = 1018368.

The previous prime is 3117013. The next prime is 3117031. The reversal of 3117024 is 4207113.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3116988 and 3117006.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22684 + ... + 22820.

It is an arithmetic number, because the mean of its divisors is an integer number (125580).

Almost surely, 23117024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3117024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520880).

3117024 is an abundant number, since it is smaller than the sum of its proper divisors (5924736).

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

3117024 is a wasteful number, since it uses less digits than its factorization.

3117024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 3117024 is about 1765.5095581729. The cubic root of 3117024 is about 146.0763971220.

The spelling of 3117024 in words is "three million, one hundred seventeen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 137 144 158 237 274 288 316 411 474 548 632 711 822 948 1096 1233 1264 1422 1644 1896 2192 2466 2528 2844 3288 3792 4384 4932 5688 6576 7584 9864 10823 11376 13152 19728 21646 22752 32469 39456 43292 64938 86584 97407 129876 173168 194814 259752 346336 389628 519504 779256 1039008 1558512 3117024