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230084304 = 24371181373
BaseRepresentation
bin11011011011011…
…00111011010000
3121000221111022220
431231230323100
5432400144204
634455301040
75462453502
oct1555547320
9530844286
10230084304
1110897081a
126507a780
133888b778
14227b3d72
15152ed1d9
hexdb6ced0

230084304 has 80 divisors (see below), whose sum is σ = 607711104. Its totient is φ = 74995200.

The previous prime is 230084303. The next prime is 230084321. The reversal of 230084304 is 403480032.

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 (230084303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616662 + ... + 617034.

Almost surely, 2230084304 is an apocalyptic number.

230084304 is a gapful number since it is divisible by the number (24) 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 230084304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303855552).

230084304 is an abundant number, since it is smaller than the sum of its proper divisors (377626800).

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

230084304 is a wasteful number, since it uses less digits than its factorization.

230084304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 230084304 is about 15168.5300540296. The cubic root of 230084304 is about 612.7674169788.

The spelling of 230084304 in words is "two hundred thirty million, eighty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 181 213 284 362 373 426 543 568 724 746 852 1086 1119 1136 1448 1492 1704 2172 2238 2896 2984 3408 4344 4476 5968 8688 8952 12851 17904 25702 26483 38553 51404 52966 67513 77106 79449 102808 105932 135026 154212 158898 202539 205616 211864 270052 308424 317796 405078 423728 540104 616848 635592 810156 1080208 1271184 1620312 3240624 4793423 9586846 14380269 19173692 28760538 38347384 57521076 76694768 115042152 230084304