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361816 = 23721371
BaseRepresentation
bin1011000010101011000
3200101022121
41120111120
543034231
611431024
73034600
oct1302530
9611277
10361816
11227924
12155474
13c88c0
1495c00
1572311
hex58558

361816 has 48 divisors (see below), whose sum is σ = 861840. Its totient is φ = 141120.

The previous prime is 361807. The next prime is 361843. The reversal of 361816 is 618163.

361816 = T98 + T99 + ... + T145.

361816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

361816 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5061 + ... + 5131.

It is an arithmetic number, because the mean of its divisors is an integer number (17955).

2361816 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 361816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

361816 is an abundant number, since it is smaller than the sum of its proper divisors (500024).

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

361816 is a wasteful number, since it uses less digits than its factorization.

361816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 93 counting only the distinct ones).

The product of its digits is 864, while the sum is 25.

The square root of 361816 is about 601.5114296503. The cubic root of 361816 is about 71.2572825223.

Adding to 361816 its reverse (618163), we get a palindrome (979979).

The spelling of 361816 in words is "three hundred sixty-one thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 71 91 98 104 142 182 196 284 364 392 497 568 637 728 923 994 1274 1846 1988 2548 3479 3692 3976 5096 6461 6958 7384 12922 13916 25844 27832 45227 51688 90454 180908 361816