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34190304 = 2532912281
BaseRepresentation
bin1000001001101…
…1001111100000
32101100001021120
42002123033200
532223042204
63220452240
7563420121
oct202331740
971301246
1034190304
1118332755
12b54a080
137111365
144780048
1530056d9
hex209b3e0

34190304 has 48 divisors (see below), whose sum is σ = 92851920. Its totient is φ = 11002880.

The previous prime is 34190293. The next prime is 34190311. The reversal of 34190304 is 40309143.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×341903042 = 2337953775224832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3357 + ... + 8924.

It is an arithmetic number, because the mean of its divisors is an integer number (1934415).

Almost surely, 234190304 is an apocalyptic number.

It is an amenable number.

34190304 is an abundant number, since it is smaller than the sum of its proper divisors (58661616).

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

34190304 is a wasteful number, since it uses less digits than its factorization.

34190304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12323 (or 12315 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 34190304 is about 5847.2475576120. The cubic root of 34190304 is about 324.5644785662.

Adding to 34190304 its reverse (40309143), we get a palindrome (74499447).

The spelling of 34190304 in words is "thirty-four million, one hundred ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 12281 24562 36843 49124 73686 98248 147372 196496 294744 356149 392992 589488 712298 1068447 1178976 1424596 2136894 2849192 4273788 5698384 8547576 11396768 17095152 34190304