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34225620 = 223511133989
BaseRepresentation
bin1000001010001…
…1110111010100
32101101211201120
42002203313110
532230204440
63221323540
7563625102
oct202436724
971354646
1034225620
1118357240
12b5665b0
137124460
14478cc72
153010dd0
hex20a3dd4

34225620 has 96 divisors (see below), whose sum is σ = 112613760. Its totient is φ = 7656960.

The previous prime is 34225601. The next prime is 34225627. The reversal of 34225620 is 2652243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225627) 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, 6586 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (1173060).

Almost surely, 234225620 is an apocalyptic number.

34225620 is a gapful number since it is divisible by the number (30) 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 34225620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56306880).

34225620 is an abundant number, since it is smaller than the sum of its proper divisors (78388140).

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

34225620 is a wasteful number, since it uses less digits than its factorization.

34225620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4023 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34225620 is about 5850.2666605891. The cubic root of 34225620 is about 324.6761903039.

Adding to 34225620 its reverse (2652243), we get a palindrome (36877863).

The spelling of 34225620 in words is "thirty-four million, two hundred twenty-five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 3989 4290 7978 8580 11967 15956 19945 23934 39890 43879 47868 51857 59835 79780 87758 103714 119670 131637 155571 175516 207428 219395 239340 259285 263274 311142 438790 518570 526548 570427 622284 658185 777855 877580 1037140 1140854 1316370 1555710 1711281 2281708 2632740 2852135 3111420 3422562 5704270 6845124 8556405 11408540 17112810 34225620