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363061242 = 232373471571
BaseRepresentation
bin10101101000111…
…101111111111010
3221022011102101200
4111220331333322
51220420424432
6100005355030
711665653405
oct2550757772
9838142350
10363061242
11176a36315
12a1708a76
135a2aa24b
143630ad3c
1521d18a7c
hex15a3dffa

363061242 has 48 divisors (see below), whose sum is σ = 810736992. Its totient is φ = 117335520.

The previous prime is 363061241. The next prime is 363061267. The reversal of 363061242 is 242160363.

363061242 is a `hidden beast` number, since 3 + 6 + 3 + 0 + 612 + 42 = 666.

363061242 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (363061241) 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, 230317 + ... + 231887.

It is an arithmetic number, because the mean of its divisors is an integer number (16890354).

Almost surely, 2363061242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 363061242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405368496).

363061242 is an abundant number, since it is smaller than the sum of its proper divisors (447675750).

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

363061242 is a wasteful number, since it uses less digits than its factorization.

363061242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 363061242 is about 19054.1660011663. The cubic root of 363061242 is about 713.3893632778.

The spelling of 363061242 in words is "three hundred sixty-three million, sixty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 347 666 694 1041 1571 2082 3123 3142 4713 6246 9426 12839 14139 25678 28278 38517 58127 77034 115551 116254 174381 231102 348762 523143 545137 1046286 1090274 1635411 3270822 4906233 9812466 20170069 40340138 60510207 121020414 181530621 363061242