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234635940 = 22365711219
BaseRepresentation
bin11011111110001…
…00001010100100
3121100111202000000
431333010022210
5440031322230
635141021300
75546241540
oct1577041244
9540452000
10234635940
1111049a500
12666b4830
13397c3446
142323aa20
15158ebb60
hexdfc42a4

234635940 has 504 divisors, whose sum is σ = 976879680. Its totient is φ = 46189440.

The previous prime is 234635939. The next prime is 234635941. The reversal of 234635940 is 49536432.

234635940 is a `hidden beast` number, since 2 + 3 + 4 + 63 + 594 + 0 = 666.

234635940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (234635939) and next prime (234635941).

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

It is a junction number, because it is equal to n+sod(n) for n = 234635895 and 234635904.

It is not an unprimeable number, because it can be changed into a prime (234635941) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 12349251 + ... + 12349269.

Almost surely, 2234635940 is an apocalyptic number.

234635940 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 234635940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488439840).

234635940 is an abundant number, since it is smaller than the sum of its proper divisors (742243740).

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

234635940 is a wasteful number, since it uses less digits than its factorization.

234635940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 234635940 is about 15317.8307863744. The cubic root of 234635940 is about 616.7817455876.

It can be divided in two parts, 23463 and 5940, that added together give a triangular number (29403 = T242).

The spelling of 234635940 in words is "two hundred thirty-four million, six hundred thirty-five thousand, nine hundred forty".