Search a number
-
+
361413045 = 32575032281
BaseRepresentation
bin10101100010101…
…011100110110101
3221012001200111100
4111202223212311
51220010204140
655510200313
711645650230
oct2542534665
9835050440
10361413045
1117600aa74
12a1053099
1359b50c96
1435ddc417
1521ae0530
hex158ab9b5

361413045 has 48 divisors (see below), whose sum is σ = 717679872. Its totient is φ = 164816640.

The previous prime is 361413037. The next prime is 361413061. The reversal of 361413045 is 540314163.

361413045 is a `hidden beast` number, since 3 + 614 + 1 + 3 + 0 + 45 = 666.

It is not a de Polignac number, because 361413045 - 23 = 361413037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157305 + ... + 159585.

It is an arithmetic number, because the mean of its divisors is an integer number (14951664).

Almost surely, 2361413045 is an apocalyptic number.

361413045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

361413045 is a deficient number, since it is larger than the sum of its proper divisors (356266827).

361413045 is a wasteful number, since it uses less digits than its factorization.

361413045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802 (or 2799 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 361413045 is about 19010.8664978743. The cubic root of 361413045 is about 712.3081958319.

The spelling of 361413045 in words is "three hundred sixty-one million, four hundred thirteen thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 503 1509 2281 2515 3521 4527 6843 7545 10563 11405 15967 17605 20529 22635 31689 34215 47901 52815 79835 102645 143703 158445 239505 718515 1147343 3442029 5736715 8031401 10326087 17210145 24094203 40157005 51630435 72282609 120471015 361413045