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234145128 = 23372199103
BaseRepresentation
bin11011111010011…
…00010101101000
3121022120210201210
431331030111220
5434420121003
635122313120
75542125600
oct1575142550
9538523653
10234145128
11110194778
12664b87a0
1339680c19
142314dc00
1515851503
hexdf4c568

234145128 has 48 divisors (see below), whose sum is σ = 680935680. Its totient is φ = 66898272.

The previous prime is 234145111. The next prime is 234145133. The reversal of 234145128 is 821541432.

It is a super-2 number, since 2×2341451282 = 109647881932272768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 234145095 and 234145104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98376 + ... + 100727.

It is an arithmetic number, because the mean of its divisors is an integer number (14186160).

Almost surely, 2234145128 is an apocalyptic number.

234145128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

234145128 is an abundant number, since it is smaller than the sum of its proper divisors (446790552).

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

234145128 is a wasteful number, since it uses less digits than its factorization.

234145128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199126 (or 199115 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 234145128 is about 15301.8014625730. The cubic root of 234145128 is about 616.3513835450.

The spelling of 234145128 in words is "two hundred thirty-four million, one hundred forty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 199103 398206 597309 796412 1194618 1393721 1592824 2389236 2787442 4181163 4778472 5574884 8362326 9756047 11149768 16724652 19512094 29268141 33449304 39024188 58536282 78048376 117072564 234145128