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234530304 = 2931071427
BaseRepresentation
bin11011111101010…
…10011000000000
3121100022101002120
431332222120000
5440014432204
635134444240
75545321551
oct1576523000
9540271076
10234530304
111104280a8
1266663680
1339787338
1423210328
15158ca6d9
hexdfaa600

234530304 has 80 divisors (see below), whose sum is σ = 631084608. Its totient is φ = 77391872.

The previous prime is 234530293. The next prime is 234530311. The reversal of 234530304 is 403035432.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163639 + ... + 165065.

Almost surely, 2234530304 is an apocalyptic number.

234530304 is a gapful number since it is divisible by the number (24) 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 234530304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315542304).

234530304 is an abundant number, since it is smaller than the sum of its proper divisors (396554304).

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

234530304 is a wasteful number, since it uses less digits than its factorization.

234530304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

The square root of 234530304 is about 15314.3822598236. The cubic root of 234530304 is about 616.6891707720.

Adding to 234530304 its reverse (403035432), we get a palindrome (637565736).

The spelling of 234530304 in words is "two hundred thirty-four million, five hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 428 512 642 768 856 1284 1427 1536 1712 2568 2854 3424 4281 5136 5708 6848 8562 10272 11416 13696 17124 20544 22832 27392 34248 41088 45664 54784 68496 82176 91328 136992 152689 164352 182656 273984 305378 365312 458067 547968 610756 730624 916134 1095936 1221512 1832268 2191872 2443024 3664536 4886048 7329072 9772096 14658144 19544192 29316288 39088384 58632576 78176768 117265152 234530304