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369968 = 24191217
BaseRepresentation
bin1011010010100110000
3200210111112
41122110300
543314333
611532452
73100424
oct1322460
9623445
10369968
11232a65
1215a128
13cc521
1498b84
1574948
hex5a530

369968 has 20 divisors (see below), whose sum is σ = 755160. Its totient is φ = 175104.

The previous prime is 369961. The next prime is 369979. The reversal of 369968 is 869963.

369968 = T207 + T208 + ... + T222.

It is a nialpdrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (369961) by changing a digit.

369968 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 3 ways as a sum of consecutive naturals, for example, 305 + ... + 912.

It is an arithmetic number, because the mean of its divisors is an integer number (37758).

2369968 is an apocalyptic number.

369968 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

369968 is an abundant number, since it is smaller than the sum of its proper divisors (385192).

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

369968 is a wasteful number, since it uses less digits than its factorization.

369968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its digits is 69984, while the sum is 41.

The square root of 369968 is about 608.2499486231. The cubic root of 369968 is about 71.7884738237.

The spelling of 369968 in words is "three hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 1217 2434 4868 9736 19472 23123 46246 92492 184984 369968