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234311020 = 22531273167
BaseRepresentation
bin11011111011101…
…00110101101100
3121022220020021221
431331310311230
5434440423040
635130033124
75543416336
oct1575646554
9538806257
10234311020
11110298379
12665787a4
133970b598
1423194456
151588574a
hexdf74d6c

234311020 has 72 divisors (see below), whose sum is σ = 518488992. Its totient is φ = 88922880.

The previous prime is 234311003. The next prime is 234311053. The reversal of 234311020 is 20113432.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 234310985 and 234311003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1402977 + ... + 1403143.

It is an arithmetic number, because the mean of its divisors is an integer number (7201236).

Almost surely, 2234311020 is an apocalyptic number.

234311020 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 234311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259244496).

234311020 is an abundant number, since it is smaller than the sum of its proper divisors (284177972).

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

234311020 is a wasteful number, since it uses less digits than its factorization.

234311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 234311020 is about 15307.2211717215. The cubic root of 234311020 is about 616.4969109885.

Adding to 234311020 its reverse (20113432), we get a palindrome (254424452).

The spelling of 234311020 in words is "two hundred thirty-four million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 73 124 146 155 167 292 310 334 365 620 668 730 835 961 1460 1670 1922 2263 3340 3844 4526 4805 5177 9052 9610 10354 11315 12191 19220 20708 22630 24382 25885 45260 48764 51770 60955 70153 103540 121910 140306 160487 243820 280612 320974 350765 377921 641948 701530 755842 802435 1403060 1511684 1604870 1889605 3209740 3779210 7558420 11715551 23431102 46862204 58577755 117155510 234311020