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234474240 = 28357111361
BaseRepresentation
bin11011111100111…
…00101100000000
3121100012112012010
431332130230000
5440011133430
635133332520
75544666240
oct1576345400
9540175163
10234474240
11110399a70
1266637140
1339767970
14231d7b20
15158b8cb0
hexdf9cb00

234474240 has 576 divisors, whose sum is σ = 1021934592. Its totient is φ = 44236800.

The previous prime is 234474223. The next prime is 234474241. The reversal of 234474240 is 42474432.

It is a happy number.

234474240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2344742403 (a number of 26 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 = 234474198 and 234474207.

It is not an unprimeable number, because it can be changed into a prime (234474241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3843810 + ... + 3843870.

It is an arithmetic number, because the mean of its divisors is an integer number (1774192).

Almost surely, 2234474240 is an apocalyptic number.

234474240 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 234474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510967296).

234474240 is an abundant number, since it is smaller than the sum of its proper divisors (787460352).

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

234474240 is a wasteful number, since it uses less digits than its factorization.

234474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 234474240 is about 15312.5517141984. The cubic root of 234474240 is about 616.6400274183.

It can be divided in two parts, 234 and 474240, that added together give a palindrome (474474).

The spelling of 234474240 in words is "two hundred thirty-four million, four hundred seventy-four thousand, two hundred forty".