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234104420 = 225112334567
BaseRepresentation
bin11011111010000…
…10011001100100
3121022111201220002
431331002121210
5434412320140
635121400432
75541566114
oct1575023144
9538451802
10234104420
11110167130
1266499118
1339668534
142313d044
1515844415
hexdf42664

234104420 has 48 divisors (see below), whose sum is σ = 538731648. Its totient is φ = 84744960.

The previous prime is 234104411. The next prime is 234104447. The reversal of 234104420 is 24401432.

234104420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 234104392 and 234104401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48977 + ... + 53543.

It is an arithmetic number, because the mean of its divisors is an integer number (11223576).

Almost surely, 2234104420 is an apocalyptic number.

234104420 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 234104420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269365824).

234104420 is an abundant number, since it is smaller than the sum of its proper divisors (304627228).

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

234104420 is a wasteful number, since it uses less digits than its factorization.

234104420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 234104420 is about 15300.4712345731. The cubic root of 234104420 is about 616.3156622717.

Adding to 234104420 its reverse (24401432), we get a palindrome (258505852).

The spelling of 234104420 in words is "two hundred thirty-four million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 233 466 932 1165 2330 2563 4567 4660 5126 9134 10252 12815 18268 22835 25630 45670 50237 51260 91340 100474 200948 251185 502370 1004740 1064111 2128222 4256444 5320555 10641110 11705221 21282220 23410442 46820884 58526105 117052210 234104420