Search a number
-
+
361842660 = 223354753269
BaseRepresentation
bin10101100100010…
…100011111100100
3221012212111211000
4111210110133210
51220112431120
655523313300
711652416604
oct2544243744
9835774730
10361842660
11176283823
12a121b830
1359c716aa
14360b0c04
1521b77990
hex159147e4

361842660 has 192 divisors, whose sum is σ = 1175731200. Its totient is φ = 92312064.

The previous prime is 361842653. The next prime is 361842661. The reversal of 361842660 is 66248163.

It is a super-2 number, since 2×3618426602 = 261860221191751200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (361842661) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1345006 + ... + 1345274.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2361842660 is an apocalyptic number.

361842660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361842660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587865600).

361842660 is an abundant number, since it is smaller than the sum of its proper divisors (813888540).

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

361842660 is a wasteful number, since it uses less digits than its factorization.

361842660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 361842660 is about 19022.1623376524. The cubic root of 361842660 is about 712.5903264986.

The spelling of 361842660 in words is "three hundred sixty-one million, eight hundred forty-two thousand, six hundred sixty".