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235343340 = 22335974493
BaseRepresentation
bin11100000011100…
…00110111101100
3121101211200101000
432001300313230
5440221441330
635204120300
75555246121
oct1601606754
9541750330
10235343340
11110932a31
1266996090
13399b041b
1423382748
15159db560
hexe070dec

235343340 has 96 divisors (see below), whose sum is σ = 739892160. Its totient is φ = 62097408.

The previous prime is 235343327. The next prime is 235343369. The reversal of 235343340 is 43343532.

It is a happy number.

235343340 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 (27).

235343340 is a Rhonda number in base 14.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50134 + ... + 54626.

It is an arithmetic number, because the mean of its divisors is an integer number (7707210).

Almost surely, 2235343340 is an apocalyptic number.

235343340 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 235343340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369946080).

235343340 is an abundant number, since it is smaller than the sum of its proper divisors (504548820).

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

235343340 is a wasteful number, since it uses less digits than its factorization.

235343340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 27.

The square root of 235343340 is about 15340.9041454537. The cubic root of 235343340 is about 617.4009653937.

Adding to 235343340 its reverse (43343532), we get a palindrome (278686872).

The spelling of 235343340 in words is "two hundred thirty-five million, three hundred forty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 97 108 135 180 194 270 291 388 485 540 582 873 970 1164 1455 1746 1940 2619 2910 3492 4365 4493 5238 5820 8730 8986 10476 13095 13479 17460 17972 22465 26190 26958 40437 44930 52380 53916 67395 80874 89860 121311 134790 161748 202185 242622 269580 404370 435821 485244 606555 808740 871642 1213110 1307463 1743284 2179105 2426220 2614926 3922389 4358210 5229852 6537315 7844778 8716420 11767167 13074630 15689556 19611945 23534334 26149260 39223890 47068668 58835835 78447780 117671670 235343340