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234136448 = 2771320101
BaseRepresentation
bin11011111010010…
…10001110000000
3121022120100211022
431331022032000
5434414331243
635122205012
75542061360
oct1575121600
9538510738
10234136448
111101891a7
12664b3768
1339679ca0
142314a9a0
151584db68
hexdf4a380

234136448 has 64 divisors (see below), whose sum is σ = 574113120. Its totient is φ = 92620800.

The previous prime is 234136447. The next prime is 234136453. The reversal of 234136448 is 844631432.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×2341364483 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234136447) by changing a digit.

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, 1598 + ... + 21698.

Almost surely, 2234136448 is an apocalyptic number.

234136448 is a gapful number since it is divisible by the number (28) 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 234136448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287056560).

234136448 is an abundant number, since it is smaller than the sum of its proper divisors (339976672).

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

234136448 is a wasteful number, since it uses less digits than its factorization.

234136448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20135 (or 20123 counting only the distinct ones).

The product of its digits is 55296, while the sum is 35.

The square root of 234136448 is about 15301.5178332086. The cubic root of 234136448 is about 616.3437671916.

The spelling of 234136448 in words is "two hundred thirty-four million, one hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 364 416 448 728 832 896 1456 1664 2912 5824 11648 20101 40202 80404 140707 160808 261313 281414 321616 522626 562828 643232 1045252 1125656 1286464 1829191 2090504 2251312 2572928 3658382 4181008 4502624 7316764 8362016 9005248 14633528 16724032 18010496 29267056 33448064 58534112 117068224 234136448