Search a number
-
+
69346304 = 210241281
BaseRepresentation
bin1000010001000…
…10010000000000
311211111011020122
410020202100000
5120223040204
610514155412
71501301546
oct410422000
9154434218
1069346304
11361649a5
121b282b68
13114a0121
1492d1d96
15614c0be
hex4222400

69346304 has 44 divisors (see below), whose sum is σ = 139695468. Its totient is φ = 34406400.

The previous prime is 69346289. The next prime is 69346309. The reversal of 69346304 is 40364396.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49561600 + 19784704 = 7040^2 + 4448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69346309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 246644 + ... + 246924.

It is an arithmetic number, because the mean of its divisors is an integer number (3174897).

Almost surely, 269346304 is an apocalyptic number.

69346304 is a gapful number since it is divisible by the number (64) 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 69346304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69847734).

69346304 is an abundant number, since it is smaller than the sum of its proper divisors (70349164).

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

69346304 is a wasteful number, since it uses less digits than its factorization.

69346304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 69346304 is about 8327.4428247812. The cubic root of 69346304 is about 410.8416263176.

The spelling of 69346304 in words is "sixty-nine million, three hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 128 241 256 281 482 512 562 964 1024 1124 1928 2248 3856 4496 7712 8992 15424 17984 30848 35968 61696 67721 71936 123392 135442 143872 246784 270884 287744 541768 1083536 2167072 4334144 8668288 17336576 34673152 69346304