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3132024324 = 22311138272207
BaseRepresentation
bin1011101010101110…
…1110011000000100
322002021110022122220
42322223232120010
522403244234244
61234442052340
7140420524152
oct27253563004
98067408586
103132024324
111367a45260
12734aaa0b0
133abb5b540
14219d723d2
15134e72319
hexbaaee604

3132024324 has 96 divisors (see below), whose sum is σ = 8599965696. Its totient is φ = 874634880.

The previous prime is 3132024289. The next prime is 3132024361. The reversal of 3132024324 is 4234202313.

3132024324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31320243242 = 19619152732255313952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3132024294 and 3132024303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1418029 + ... + 1420235.

It is an arithmetic number, because the mean of its divisors is an integer number (89582976).

Almost surely, 23132024324 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 3132024324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299982848).

3132024324 is an abundant number, since it is smaller than the sum of its proper divisors (5467941372).

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

3132024324 is a wasteful number, since it uses less digits than its factorization.

3132024324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3063 counting only the distinct ones).

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

The square root of 3132024324 is about 55964.4916353218. The cubic root of 3132024324 is about 1463.1034759279.

Adding to 3132024324 its reverse (4234202313), we get a palindrome (7366226637).

The spelling of 3132024324 in words is "three billion, one hundred thirty-two million, twenty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 827 858 1654 1716 2207 2481 3308 4414 4962 6621 8828 9097 9924 10751 13242 18194 21502 24277 26484 27291 28691 32253 36388 43004 48554 54582 57382 64506 72831 86073 97108 109164 114764 118261 129012 145662 172146 236522 291324 315601 344292 354783 473044 631202 709566 946803 1262404 1419132 1825189 1893606 3650378 3787212 5475567 7300756 10951134 20077079 21902268 23727457 40154158 47454914 60231237 71182371 80308316 94909828 120462474 142364742 240924948 261002027 284729484 522004054 783006081 1044008108 1566012162 3132024324