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3117996 = 2232712373
BaseRepresentation
bin1011111001001110101100
312212102002100
423321032230
51244233441
6150455100
735334240
oct13711654
95772070
103117996
11183a662
121064490
1385228b
145b2420
15418cb6
hex2f93ac

3117996 has 36 divisors (see below), whose sum is σ = 9008272. Its totient is φ = 890784.

The previous prime is 3117991. The next prime is 3117997. The reversal of 3117996 is 6997113.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3117996.

It is not an unprimeable number, because it can be changed into a prime (3117991) by changing a digit.

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, 5935 + ... + 6438.

Almost surely, 23117996 is an apocalyptic number.

3117996 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3117996 is an abundant number, since it is smaller than the sum of its proper divisors (5890276).

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

3117996 is a wasteful number, since it uses less digits than its factorization.

3117996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12390 (or 12385 counting only the distinct ones).

The product of its digits is 10206, while the sum is 36.

The square root of 3117996 is about 1765.7848113516. The cubic root of 3117996 is about 146.0915794991.

The spelling of 3117996 in words is "three million, one hundred seventeen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 12373 24746 37119 49492 74238 86611 111357 148476 173222 222714 259833 346444 445428 519666 779499 1039332 1558998 3117996