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234369408 = 27371319353
BaseRepresentation
bin11011111100000…
…11000110000000
3121100000012101110
431332003012000
5434444310113
635131203320
75544051510
oct1576030600
9540005343
10234369408
11110328229
12665a6540
133972c030
14231ab840
1515897bc3
hexdf83180

234369408 has 256 divisors, whose sum is σ = 808819200. Its totient is φ = 58392576.

The previous prime is 234369397. The next prime is 234369409. The reversal of 234369408 is 804963432.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234369409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663760 + ... + 664112.

It is an arithmetic number, because the mean of its divisors is an integer number (3159450).

Almost surely, 2234369408 is an apocalyptic number.

234369408 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 234369408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404409600).

234369408 is an abundant number, since it is smaller than the sum of its proper divisors (574449792).

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

234369408 is a wasteful number, since it uses less digits than its factorization.

234369408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 234369408 is about 15309.1282573503. The cubic root of 234369408 is about 616.5481150564.

The spelling of 234369408 in words is "two hundred thirty-four million, three hundred sixty-nine thousand, four hundred eight".