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234339240 = 23353076361
BaseRepresentation
bin11011111011110…
…11101110101000
3121022221200000010
431331323232220
5434442323430
635130411520
75543564532
oct1575735650
9538850003
10234339240
111103075a3
1266590ba0
133971b395
14231a0852
151588dcb0
hexdf7bba8

234339240 has 64 divisors (see below), whose sum is σ = 705418560. Its totient is φ = 62277120.

The previous prime is 234339229. The next prime is 234339251. The reversal of 234339240 is 42933432.

It is an interprime number because it is at equal distance from previous prime (234339229) and next prime (234339251).

It is a super-3 number, since 3×2343392403 (a number of 26 digits) contains 333 as substring.

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 = 234339198 and 234339207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33660 + ... + 40020.

It is an arithmetic number, because the mean of its divisors is an integer number (11022165).

Almost surely, 2234339240 is an apocalyptic number.

234339240 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 234339240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352709280).

234339240 is an abundant number, since it is smaller than the sum of its proper divisors (471079320).

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

234339240 is a wasteful number, since it uses less digits than its factorization.

234339240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 234339240 is about 15308.1429311331. The cubic root of 234339240 is about 616.5216599232.

It can be divided in two parts, 2343392 and 40, that added together give a palindrome (2343432).

The spelling of 234339240 in words is "two hundred thirty-four million, three hundred thirty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 307 614 921 1228 1535 1842 2456 3070 3684 4605 6140 6361 7368 9210 12280 12722 18420 19083 25444 31805 36840 38166 50888 63610 76332 95415 127220 152664 190830 254440 381660 763320 1952827 3905654 5858481 7811308 9764135 11716962 15622616 19528270 23433924 29292405 39056540 46867848 58584810 78113080 117169620 234339240