Search a number
-
+
361945948 = 2274132223
BaseRepresentation
bin10101100100101…
…101101101011100
3221020001202111111
4111210231231130
51220124232243
655525431404
711653330000
oct2544555534
9836052444
10361945948
11176344391
12a126b564
1359ca9700
14360da700
1521b9839d
hex1592db5c

361945948 has 90 divisors (see below), whose sum is σ = 803730144. Its totient is φ = 142545312.

The previous prime is 361945931. The next prime is 361945949. The reversal of 361945948 is 849549163.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361945949) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1622965 + ... + 1623187.

Almost surely, 2361945948 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 361945948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401865072).

361945948 is an abundant number, since it is smaller than the sum of its proper divisors (441784196).

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

361945948 is a wasteful number, since it uses less digits than its factorization.

361945948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 245 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The square root of 361945948 is about 19024.8770823887. The cubic root of 361945948 is about 712.6581230261.

The spelling of 361945948 in words is "three hundred sixty-one million, nine hundred forty-five thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 223 338 343 364 446 637 676 686 892 1183 1274 1372 1561 2366 2401 2548 2899 3122 4459 4732 4802 5798 6244 8281 8918 9604 10927 11596 16562 17836 20293 21854 31213 33124 37687 40586 43708 57967 62426 75374 76489 81172 115934 124852 142051 150748 152978 231868 263809 284102 305956 405769 527618 535423 568204 811538 994357 1055236 1070846 1623076 1846663 1988714 2141692 3693326 3977428 6960499 7386652 12926641 13920998 25853282 27841996 51706564 90486487 180972974 361945948