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645363324 = 223237796133
BaseRepresentation
bin100110011101110…
…111011001111100
31122222100212001100
4212131313121330
52310203111244
6144012213100
721664332504
oct4635673174
91588325040
10645363324
11301322021
1216016a190
13a391c6b8
14619d4a04
153b9cdb69
hex2677767c

645363324 has 72 divisors (see below), whose sum is σ = 1696909760. Its totient is φ = 206623872.

The previous prime is 645363311. The next prime is 645363343. The reversal of 645363324 is 423363546.

645363324 is a `hidden beast` number, since 645 + 3 + 6 + 3 + 3 + 2 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102162 + ... + 108294.

Almost surely, 2645363324 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 645363324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848454880).

645363324 is an abundant number, since it is smaller than the sum of its proper divisors (1051546436).

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

645363324 is a wasteful number, since it uses less digits than its factorization.

645363324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6259 (or 6254 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 645363324 is about 25404.0021256494. The cubic root of 645363324 is about 864.1744600122.

The spelling of 645363324 in words is "six hundred forty-five million, three hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 148 158 222 237 316 333 444 474 666 711 948 1332 1422 2844 2923 5846 6133 8769 11692 12266 17538 18399 24532 26307 35076 36798 52614 55197 73596 105228 110394 220788 226921 453842 484507 680763 907684 969014 1361526 1453521 1938028 2042289 2723052 2907042 4084578 4360563 5814084 8169156 8721126 17442252 17926759 35853518 53780277 71707036 107560554 161340831 215121108 322681662 645363324