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34230768 = 24311134987
BaseRepresentation
bin1000001010010…
…1000111110000
32101102002210020
42002211013300
532230341033
63221403440
7563646105
oct202450760
971362706
1034230768
11183600a0
12b569580
1371268c0
144790aac
1530126b3
hex20a51f0

34230768 has 80 divisors (see below), whose sum is σ = 103910016. Its totient is φ = 9573120.

The previous prime is 34230737. The next prime is 34230793. The reversal of 34230768 is 86703243.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4371 + ... + 9357.

Almost surely, 234230768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34230768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51955008).

34230768 is an abundant number, since it is smaller than the sum of its proper divisors (69679248).

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

34230768 is a wasteful number, since it uses less digits than its factorization.

34230768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 34230768 is about 5850.7066239900. The cubic root of 34230768 is about 324.6924680634.

The spelling of 34230768 in words is "thirty-four million, two hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 4987 6864 9974 14961 19948 29922 39896 54857 59844 64831 79792 109714 119688 129662 164571 194493 219428 239376 259324 329142 388986 438856 518648 658284 713141 777972 877712 1037296 1316568 1426282 1555944 2139423 2633136 2852564 3111888 4278846 5705128 8557692 11410256 17115384 34230768