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3213340224 = 26327161757
BaseRepresentation
bin1011111110000111…
…1010111001000000
322021221110121002220
42333201322321000
523040103341344
61250505011040
7142425640563
oct27741727100
98257417086
103213340224
1113a9935086
12758183a80
133c295c863
14226a9c4da
1513c185c19
hexbf87ae40

3213340224 has 56 divisors (see below), whose sum is σ = 8533473408. Its totient is φ = 1067143680.

The previous prime is 3213340213. The next prime is 3213340231. The reversal of 3213340224 is 4220433123.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3213340194 and 3213340203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21154 + ... + 82910.

Almost surely, 23213340224 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 3213340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266736704).

3213340224 is an abundant number, since it is smaller than the sum of its proper divisors (5320133184).

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

3213340224 is a wasteful number, since it uses less digits than its factorization.

3213340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62043 (or 62033 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3213340224 is about 56686.3318975571. The cubic root of 3213340224 is about 1475.6575023647.

Adding to 3213340224 its reverse (4220433123), we get a palindrome (7433773347).

The spelling of 3213340224 in words is "three billion, two hundred thirteen million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 271 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 26016 52032 61757 123514 185271 247028 370542 494056 741084 988112 1482168 1976224 2964336 3952448 5928672 11857344 16736147 33472294 50208441 66944588 100416882 133889176 200833764 267778352 401667528 535556704 803335056 1071113408 1606670112 3213340224