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3121992 = 2332131331
BaseRepresentation
bin1011111010001101001000
312212121120100
423322031020
51244400432
6150525400
735352006
oct13721510
95777510
103121992
111842665
121066860
13854043
145b3a76
1541a07c
hex2fa348

3121992 has 48 divisors (see below), whose sum is σ = 8545680. Its totient is φ = 1029600.

The previous prime is 3121981. The next prime is 3122003. The reversal of 3121992 is 2991213.

3121992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3121981) and next prime (3122003).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9267 + ... + 9597.

It is an arithmetic number, because the mean of its divisors is an integer number (178035).

Almost surely, 23121992 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 3121992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4272840).

3121992 is an abundant number, since it is smaller than the sum of its proper divisors (5423688).

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

3121992 is a wasteful number, since it uses less digits than its factorization.

3121992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

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

The square root of 3121992 is about 1766.9159572543. The cubic root of 3121992 is about 146.1539628098.

It can be divided in two parts, 312 and 1992, that added together give a square (2304 = 482).

The spelling of 3121992 in words is "three million, one hundred twenty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 331 393 524 662 786 993 1048 1179 1324 1572 1986 2358 2648 2979 3144 3972 4716 5958 7944 9432 11916 23832 43361 86722 130083 173444 260166 346888 390249 520332 780498 1040664 1560996 3121992