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234345540 = 2235112132191
BaseRepresentation
bin11011111011111…
…01010001000100
3121022221222122110
431331331101010
5434443024130
635130501020
75543622102
oct1575752104
9538858573
10234345540
11110311300
1266594770
1339721200
14231a2c72
1515890ab0
hexdf7d444

234345540 has 216 divisors, whose sum is σ = 785078784. Its totient is φ = 52166400.

The previous prime is 234345539. The next prime is 234345541. The reversal of 234345540 is 45543432.

It is an interprime number because it is at equal distance from previous prime (234345539) and next prime (234345541).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 234345498 and 234345507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234345541) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1226845 + ... + 1227035.

It is an arithmetic number, because the mean of its divisors is an integer number (3634624).

Almost surely, 2234345540 is an apocalyptic number.

234345540 is a gapful number since it is divisible by the number (20) 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 234345540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392539392).

234345540 is an abundant number, since it is smaller than the sum of its proper divisors (550733244).

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

234345540 is a wasteful number, since it uses less digits than its factorization.

234345540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 234345540 is about 15308.3487025871. The cubic root of 234345540 is about 616.5271847508.

Adding to 234345540 its reverse (45543432), we get a palindrome (279888972).

The spelling of 234345540 in words is "two hundred thirty-four million, three hundred forty-five thousand, five hundred forty".