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361242064 = 24533131361
BaseRepresentation
bin10101100010000…
…001110111010000
3221011201222221201
4111202001313100
51214434221224
655502400544
711644335601
oct2542016720
9834658851
10361242064
11175a03567
12a0b90154
1359ac1201
1435d95da8
1521aa9a44
hex15881dd0

361242064 has 40 divisors (see below), whose sum is σ = 715916232. Its totient is φ = 176517120.

The previous prime is 361242031. The next prime is 361242083. The reversal of 361242064 is 460242163.

It can be written as a sum of positive squares in 4 ways, for example, as 242064 + 361000000 = 492^2 + 19000^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264744 + ... + 266104.

Almost surely, 2361242064 is an apocalyptic number.

It is an amenable number.

361242064 is a deficient number, since it is larger than the sum of its proper divisors (354674168).

361242064 is a wasteful number, since it uses less digits than its factorization.

361242064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 361242064 is about 19006.3690377726. The cubic root of 361242064 is about 712.1958494179.

Subtracting 361242064 from its reverse (460242163), we obtain a palindrome (99000099).

It can be divided in two parts, 361 and 242064, that multiplied together give a square (87385104 = 93482).

The spelling of 361242064 in words is "three hundred sixty-one million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 16 53 106 212 313 424 626 848 1252 1361 2504 2722 5008 5444 10888 16589 21776 33178 66356 72133 132712 144266 265424 288532 425993 577064 851986 1154128 1703972 3407944 6815888 22577629 45155258 90310516 180621032 361242064