Search a number
-
+
230377400 = 235211104717
BaseRepresentation
bin11011011101101…
…00011110111000
3121001111101101022
431232310132320
5432434034100
634505442012
75465114141
oct1556643670
9531441338
10230377400
11109050a50
12651a0308
1338961cb6
142284cac8
1515359e85
hexdbb47b8

230377400 has 48 divisors (see below), whose sum is σ = 584326440. Its totient is φ = 83772800.

The previous prime is 230377397. The next prime is 230377417. The reversal of 230377400 is 4773032.

It is a super-3 number, since 3×2303774003 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 230377400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50159 + ... + 54558.

Almost surely, 2230377400 is an apocalyptic number.

230377400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230377400 is an abundant number, since it is smaller than the sum of its proper divisors (353949040).

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

230377400 is a wasteful number, since it uses less digits than its factorization.

230377400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104744 (or 104735 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The square root of 230377400 is about 15178.1882976856. The cubic root of 230377400 is about 613.0275005914.

The spelling of 230377400 in words is "two hundred thirty million, three hundred seventy-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 104717 209434 418868 523585 837736 1047170 1151887 2094340 2303774 2617925 4188680 4607548 5235850 5759435 9215096 10471700 11518870 20943400 23037740 28797175 46075480 57594350 115188700 230377400