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230379000 = 23353411873
BaseRepresentation
bin11011011101101…
…00110111111000
3121001111110120120
431232310313320
5432434112000
634505453240
75465121615
oct1556646770
9531443516
10230379000
11109052175
12651a1220
1338962947
142284d50c
151535a6a0
hexdbb4df8

230379000 has 128 divisors (see below), whose sum is σ = 736706880. Its totient is φ = 59904000.

The previous prime is 230378989. The next prime is 230379001. The reversal of 230379000 is 973032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230379001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122064 + ... + 123936.

Almost surely, 2230379000 is an apocalyptic number.

230379000 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 230379000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368353440).

230379000 is an abundant number, since it is smaller than the sum of its proper divisors (506327880).

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

230379000 is a wasteful number, since it uses less digits than its factorization.

230379000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 24.

The square root of 230379000 is about 15178.2410048068. The cubic root of 230379000 is about 613.0289197725.

The spelling of 230379000 in words is "two hundred thirty million, three hundred seventy-nine thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 120 123 125 150 164 200 205 246 250 300 328 375 410 492 500 600 615 750 820 984 1000 1025 1230 1500 1640 1873 2050 2460 3000 3075 3746 4100 4920 5125 5619 6150 7492 8200 9365 10250 11238 12300 14984 15375 18730 20500 22476 24600 28095 30750 37460 41000 44952 46825 56190 61500 74920 76793 93650 112380 123000 140475 153586 187300 224760 230379 234125 280950 307172 374600 383965 460758 468250 561900 614344 702375 767930 921516 936500 1123800 1151895 1404750 1535860 1843032 1873000 1919825 2303790 2809500 3071720 3839650 4607580 5619000 5759475 7679300 9215160 9599125 11518950 15358600 19198250 23037900 28797375 38396500 46075800 57594750 76793000 115189500 230379000