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34228872 = 23331071481
BaseRepresentation
bin1000001010010…
…0101010001000
32101102000012000
42002210222020
532230310442
63221351000
7563640426
oct202445210
971360160
1034228872
1118359727
12b568460
137125a92
144790116
153011d4c
hex20a4a88

34228872 has 64 divisors (see below), whose sum is σ = 96033600. Its totient is φ = 11295360.

The previous prime is 34228849. The next prime is 34228907. The reversal of 34228872 is 27882243.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22372 + ... + 23852.

It is an arithmetic number, because the mean of its divisors is an integer number (1500525).

Almost surely, 234228872 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 34228872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016800).

34228872 is an abundant number, since it is smaller than the sum of its proper divisors (61804728).

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

34228872 is a wasteful number, since it uses less digits than its factorization.

34228872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1593 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 34228872 is about 5850.5445900360. The cubic root of 34228872 is about 324.6864731810.

The spelling of 34228872 in words is "thirty-four million, two hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 107 108 214 216 321 428 642 856 963 1284 1481 1926 2568 2889 2962 3852 4443 5778 5924 7704 8886 11556 11848 13329 17772 23112 26658 35544 39987 53316 79974 106632 158467 159948 316934 319896 475401 633868 950802 1267736 1426203 1901604 2852406 3803208 4278609 5704812 8557218 11409624 17114436 34228872