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3213088 = 25314179
BaseRepresentation
bin1100010000011100100000
320001020112021
430100130200
51310304323
6152511224
736211414
oct14203440
96036467
103213088
1118a504a
1210ab514
13886648
145d8d44
1543705d
hex310720

3213088 has 48 divisors (see below), whose sum is σ = 6773760. Its totient is φ = 1497600.

The previous prime is 3213083. The next prime is 3213101. The reversal of 3213088 is 8803123.

It is not an unprimeable number, because it can be changed into a prime (3213083) 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 7 ways as a sum of consecutive naturals, for example, 40633 + ... + 40711.

It is an arithmetic number, because the mean of its divisors is an integer number (141120).

Almost surely, 23213088 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 3213088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880).

3213088 is an abundant number, since it is smaller than the sum of its proper divisors (3560672).

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

3213088 is a wasteful number, since it uses less digits than its factorization.

3213088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 3213088 is about 1792.5088563240. The cubic root of 3213088 is about 147.5618891869.

The spelling of 3213088 in words is "three million, two hundred thirteen thousand, eighty-eight".

Divisors: 1 2 4 8 16 31 32 41 62 79 82 124 158 164 248 316 328 496 632 656 992 1264 1271 1312 2449 2528 2542 3239 4898 5084 6478 9796 10168 12956 19592 20336 25912 39184 40672 51824 78368 100409 103648 200818 401636 803272 1606544 3213088