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34305228 = 2233438389
BaseRepresentation
bin1000001011011…
…1010011001100
32101112212221000
42002313103030
532240231403
63223140300
7564406146
oct202672314
971485830
1034305228
1118401031
12b5a4690
137151769
1447adc96
1530297a3
hex20b74cc

34305228 has 96 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 10910592.

The previous prime is 34305221. The next prime is 34305247. The reversal of 34305228 is 82250343.

34305228 is a `hidden beast` number, since 3 + 430 + 5 + 228 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34305221) 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, 385408 + ... + 385496.

It is an arithmetic number, because the mean of its divisors is an integer number (970200).

Almost surely, 234305228 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 34305228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

34305228 is an abundant number, since it is smaller than the sum of its proper divisors (58833972).

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

34305228 is a wasteful number, since it uses less digits than its factorization.

34305228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34305228 is about 5857.0665012445. The cubic root of 34305228 is about 324.9277251513.

The spelling of 34305228 in words is "thirty-four million, three hundred five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 83 86 89 108 129 166 172 178 249 258 267 332 356 387 498 516 534 747 774 801 996 1068 1161 1494 1548 1602 2241 2322 2403 2988 3204 3569 3827 4482 4644 4806 7138 7387 7654 8964 9612 10707 11481 14276 14774 15308 21414 22161 22962 29548 32121 34443 42828 44322 45924 64242 66483 68886 88644 96363 103329 128484 132966 137772 192726 199449 206658 265932 317641 385452 398898 413316 635282 797796 952923 1270564 1905846 2858769 3811692 5717538 8576307 11435076 17152614 34305228