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230384940 = 223537157661
BaseRepresentation
bin11011011101101…
…10010100101100
3121001111202201120
431232312110230
5432434304230
634505540540
75465145132
oct1556662454
9531452646
10230384940
11109056685
12651a4750
1338965566
1422851752
151535c310
hexdbb652c

230384940 has 96 divisors (see below), whose sum is σ = 667740864. Its totient is φ = 59304960.

The previous prime is 230384933. The next prime is 230385031. The reversal of 230384940 is 49483032.

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, 348210 + ... + 348870.

It is an arithmetic number, because the mean of its divisors is an integer number (6955634).

Almost surely, 2230384940 is an apocalyptic number.

230384940 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 230384940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333870432).

230384940 is an abundant number, since it is smaller than the sum of its proper divisors (437355924).

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

230384940 is a wasteful number, since it uses less digits than its factorization.

230384940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 230384940 is about 15178.4366783935. The cubic root of 230384940 is about 613.0341884247.

The spelling of 230384940 in words is "two hundred thirty million, three hundred eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 157 185 222 314 370 444 471 555 628 661 740 785 942 1110 1322 1570 1884 1983 2220 2355 2644 3140 3305 3966 4710 5809 6610 7932 9420 9915 11618 13220 17427 19830 23236 24457 29045 34854 39660 48914 58090 69708 73371 87135 97828 103777 116180 122285 146742 174270 207554 244570 293484 311331 348540 366855 415108 489140 518885 622662 733710 1037770 1245324 1467420 1556655 2075540 3113310 3839749 6226620 7679498 11519247 15358996 19198745 23038494 38397490 46076988 57596235 76794980 115192470 230384940