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234640 = 2457419
BaseRepresentation
bin111001010010010000
3102220212101
4321102100
530002030
65010144
71665040
oct712220
9386771
10234640
1115031a
12b3954
1382a53
1461720
15497ca
hex39490

234640 has 40 divisors (see below), whose sum is σ = 624960. Its totient is φ = 80256.

The previous prime is 234629. The next prime is 234653. The reversal of 234640 is 46432.

It is a tau number, because it is divible by the number of its divisors (40).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 351 + ... + 769.

It is an arithmetic number, because the mean of its divisors is an integer number (15624).

2234640 is an apocalyptic number.

234640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

234640 is the 280-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 234640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312480).

234640 is an abundant number, since it is smaller than the sum of its proper divisors (390320).

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

234640 is a wasteful number, since it uses less digits than its factorization.

234640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 234640 is about 484.3965317795. The cubic root of 234640 is about 61.6785303041.

The spelling of 234640 in words is "two hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 419 560 838 1676 2095 2933 3352 4190 5866 6704 8380 11732 14665 16760 23464 29330 33520 46928 58660 117320 234640