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234352128 = 293271563
BaseRepresentation
bin11011111011111…
…10111000000000
3121022222022200110
431331332320000
5434443232003
635130551320
75543650233
oct1575767000
9538868613
10234352128
1111031624a
1266598540
13397241ca
14231a541a
1515892a03
hexdf7ee00

234352128 has 80 divisors (see below), whose sum is σ = 627745536. Its totient is φ = 77690880.

The previous prime is 234352121. The next prime is 234352141. The reversal of 234352128 is 821253432.

It is a junction number, because it is equal to n+sod(n) for n = 234352095 and 234352104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234352121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415975 + ... + 416537.

Almost surely, 2234352128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234352128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313872768).

234352128 is an abundant number, since it is smaller than the sum of its proper divisors (393393408).

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

234352128 is an equidigital number, since it uses as much as digits as its factorization.

234352128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 839 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 234352128 is about 15308.5638777777. The cubic root of 234352128 is about 616.5329620359.

The spelling of 234352128 in words is "two hundred thirty-four million, three hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 271 384 512 542 563 768 813 1084 1126 1536 1626 1689 2168 2252 3252 3378 4336 4504 6504 6756 8672 9008 13008 13512 17344 18016 26016 27024 34688 36032 52032 54048 69376 72064 104064 108096 138752 144128 152573 208128 216192 288256 305146 416256 432384 457719 610292 864768 915438 1220584 1830876 2441168 3661752 4882336 7323504 9764672 14647008 19529344 29294016 39058688 58588032 78117376 117176064 234352128