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234030120 = 23358323497
BaseRepresentation
bin11011111001100…
…00010000101000
3121022100221222020
431330300100220
5434402430440
635120024440
75541136362
oct1574602050
9538327866
10234030120
11110116325
1266462120
133964077c
142311dd32
151582c3d0
hexdf30428

234030120 has 64 divisors (see below), whose sum is σ = 710579520. Its totient is φ = 61653504.

The previous prime is 234030103. The next prime is 234030127. The reversal of 234030120 is 21030432.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 234030120.

It is not an unprimeable number, because it can be changed into a prime (234030127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1789 + ... + 21708.

It is an arithmetic number, because the mean of its divisors is an integer number (11102805).

Almost surely, 2234030120 is an apocalyptic number.

234030120 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 234030120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355289760).

234030120 is an abundant number, since it is smaller than the sum of its proper divisors (476549400).

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

234030120 is a wasteful number, since it uses less digits than its factorization.

234030120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23594 (or 23590 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 234030120 is about 15298.0430120980. The cubic root of 234030120 is about 616.2504533376.

Adding to 234030120 its reverse (21030432), we get a palindrome (255060552).

The spelling of 234030120 in words is "two hundred thirty-four million, thirty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 23497 46994 70491 93988 117485 140982 187976 234970 281964 352455 469940 563928 704910 939880 1409820 1950251 2819640 3900502 5850753 7801004 9751255 11701506 15602008 19502510 23403012 29253765 39005020 46806024 58507530 78010040 117015060 234030120