Search a number
-
+
230404608 = 293372381
BaseRepresentation
bin11011011101110…
…11001000000000
3121001112202201000
431232323020000
5432440421413
634510212000
75465256360
oct1556731000
9531482630
10230404608
1110906a435
12651b4000
13389714b5
14228589a0
1515363073
hexdbbb200

230404608 has 160 divisors (see below), whose sum is σ = 779771520. Its totient is φ = 65802240.

The previous prime is 230404607. The next prime is 230404631. The reversal of 230404608 is 806404032.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (230404607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95578 + ... + 97958.

It is an arithmetic number, because the mean of its divisors is an integer number (4873572).

Almost surely, 2230404608 is an apocalyptic number.

230404608 is a gapful number since it is divisible by the number (28) 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 230404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389885760).

230404608 is an abundant number, since it is smaller than the sum of its proper divisors (549366912).

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

230404608 is an equidigital number, since it uses as much as digits as its factorization.

230404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2415 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230404608 is about 15179.0845573770. The cubic root of 230404608 is about 613.0516328712.

The spelling of 230404608 in words is "two hundred thirty million, four hundred four thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2381 2688 3024 3456 3584 4032 4608 4762 5376 6048 6912 7143 8064 9524 10752 12096 13824 14286 16128 16667 19048 21429 24192 28572 32256 33334 38096 42858 48384 50001 57144 64287 66668 76192 85716 96768 100002 114288 128574 133336 150003 152384 171432 200004 228576 257148 266672 300006 304768 342864 400008 450009 457152 514296 533344 600012 609536 685728 800016 900018 914304 1028592 1066688 1200024 1219072 1371456 1600032 1800036 1828608 2057184 2133376 2400048 2742912 3200064 3600072 3657216 4114368 4266752 4800096 5485824 6400128 7200144 8228736 8533504 9600192 10971648 12800256 14400288 16457472 19200384 25600512 28800576 32914944 38400768 57601152 76801536 115202304 230404608