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66341376 = 29334799
BaseRepresentation
bin1111110100010…
…0101000000000
311121211111021000
43331010220000
5113440411001
610325532000
71433615043
oct375045000
9147744230
1066341376
11344a2292
121a274000
131098a46a
148b4cc5a
155c56a86
hex3f44a00

66341376 has 80 divisors (see below), whose sum is σ = 196416000. Its totient is φ = 22109184.

The previous prime is 66341351. The next prime is 66341419. The reversal of 66341376 is 67314366.

It is a happy number.

66341376 is a `hidden beast` number, since 6 + 634 + 13 + 7 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 66341376.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11425 + ... + 16223.

It is an arithmetic number, because the mean of its divisors is an integer number (2455200).

Almost surely, 266341376 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 66341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98208000).

66341376 is an abundant number, since it is smaller than the sum of its proper divisors (130074624).

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

66341376 is an equidigital number, since it uses as much as digits as its factorization.

66341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4826 (or 4804 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 66341376 is about 8145.0215469328. The cubic root of 66341376 is about 404.8195629700.

The spelling of 66341376 in words is "sixty-six million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 4799 6912 9598 13824 14397 19196 28794 38392 43191 57588 76784 86382 115176 129573 153568 172764 230352 259146 307136 345528 460704 518292 614272 691056 921408 1036584 1228544 1382112 1842816 2073168 2457088 2764224 3685632 4146336 5528448 7371264 8292672 11056896 16585344 22113792 33170688 66341376