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234467424 = 25321395857
BaseRepresentation
bin11011111100110…
…11000001100000
3121100012011211200
431332123001200
5440010424144
635133241200
75544640332
oct1576330140
9540164750
10234467424
11110394934
1266633200
1339764829
14231d5452
15158b6c69
hexdf9b060

234467424 has 72 divisors (see below), whose sum is σ = 671678280. Its totient is φ = 77580288.

The previous prime is 234467423. The next prime is 234467461. The reversal of 234467424 is 424764432.

234467424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234467423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37104 + ... + 42960.

It is an arithmetic number, because the mean of its divisors is an integer number (9328865).

Almost surely, 2234467424 is an apocalyptic number.

234467424 is a gapful number since it is divisible by the number (24) 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 234467424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335839140).

234467424 is an abundant number, since it is smaller than the sum of its proper divisors (437210856).

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

234467424 is a wasteful number, since it uses less digits than its factorization.

234467424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 6001 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 234467424 is about 15312.3291500673. The cubic root of 234467424 is about 616.6340522642.

The spelling of 234467424 in words is "two hundred thirty-four million, four hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 139 144 278 288 417 556 834 1112 1251 1668 2224 2502 3336 4448 5004 5857 6672 10008 11714 13344 17571 20016 23428 35142 40032 46856 52713 70284 93712 105426 140568 187424 210852 281136 421704 562272 814123 843408 1628246 1686816 2442369 3256492 4884738 6512984 7327107 9769476 13025968 14654214 19538952 26051936 29308428 39077904 58616856 78155808 117233712 234467424