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88434 = 232173
BaseRepresentation
bin10101100101110010
311111022100
4111211302
510312214
61521230
7515553
oct254562
9144270
1088434
1160495
1243216
1331338
142432a
151b309
hex15972

88434 has 24 divisors (see below), whose sum is σ = 203580. Its totient is φ = 27744.

The previous prime is 88427. The next prime is 88463. The reversal of 88434 is 43488.

It can be written as a sum of positive squares in 2 ways, for example, as 88209 + 225 = 297^2 + 15^2 .

It is a junction number, because it is equal to n+sod(n) for n = 88398 and 88407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 88434.

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, 5194 + ... + 5210.

288434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101790).

88434 is an abundant number, since it is smaller than the sum of its proper divisors (115146).

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

88434 is a wasteful number, since it uses less digits than its factorization.

88434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 22 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 88434 is about 297.3785466371. The cubic root of 88434 is about 44.5526037016.

The spelling of 88434 in words is "eighty-eight thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 4913 5202 9826 14739 29478 44217 88434