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645015312 = 2435237213
BaseRepresentation
bin100110011100100…
…010011100010000
31122221201011200000
4212130202130100
52310110442222
6144000530000
721661353054
oct4634423420
91587634600
10645015312
11301104607
12160020900
13a382a186
1461943c64
153b9609ac
hex26722710

645015312 has 120 divisors (see below), whose sum is σ = 1953666624. Its totient is φ = 205628544.

The previous prime is 645015299. The next prime is 645015313. The reversal of 645015312 is 213510546.

645015312 is a `hidden beast` number, since 645 + 0 + 1 + 5 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (645015313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85818 + ... + 93030.

Almost surely, 2645015312 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 645015312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976833312).

645015312 is an abundant number, since it is smaller than the sum of its proper divisors (1308651312).

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

645015312 is a wasteful number, since it uses less digits than its factorization.

645015312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7259 (or 7241 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 645015312 is about 25397.1516513171. The cubic root of 645015312 is about 864.0190968001.

Adding to 645015312 its reverse (213510546), we get a palindrome (858525858).

The spelling of 645015312 in words is "six hundred forty-five million, fifteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 243 276 324 368 414 432 486 552 621 648 828 972 1104 1242 1296 1656 1863 1944 2484 3312 3726 3888 4968 5589 7213 7452 9936 11178 14426 14904 21639 22356 28852 29808 43278 44712 57704 64917 86556 89424 115408 129834 165899 173112 194751 259668 331798 346224 389502 497697 519336 584253 663596 779004 995394 1038672 1168506 1327192 1493091 1558008 1752759 1990788 2337012 2654384 2986182 3116016 3505518 3981576 4479273 4674024 5972364 7011036 7963152 8958546 9348048 11944728 13437819 14022072 17917092 23889456 26875638 28044144 35834184 40313457 53751276 71668368 80626914 107502552 161253828 215005104 322507656 645015312