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8822034 = 234135971
BaseRepresentation
bin100001101001…
…110100010010
3121121012120000
4201221310102
54224301114
6513030430
7134662134
oct41516422
917535500
108822034
114a86141
122b55416
131a9b650
141259054
15b93e09
hex869d12

8822034 has 80 divisors (see below), whose sum is σ = 21954240. Its totient is φ = 2630880.

The previous prime is 8822029. The next prime is 8822057. The reversal of 8822034 is 4302288.

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

It is a junction number, because it is equal to n+sod(n) for n = 8821989 and 8822007.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 124219 + ... + 124289.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 28822034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8822034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977120).

8822034 is an abundant number, since it is smaller than the sum of its proper divisors (13132206).

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

8822034 is a wasteful number, since it uses less digits than its factorization.

8822034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8822034 is about 2970.1909029556. The cubic root of 8822034 is about 206.6281920515.

It can be divided in two parts, 882 and 2034, that added together give a square (2916 = 542).

The spelling of 8822034 in words is "eight million, eight hundred twenty-two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 71 78 81 117 118 142 162 177 213 234 351 354 426 531 639 702 767 923 1053 1062 1278 1534 1593 1846 1917 2106 2301 2769 3186 3834 4189 4602 4779 5538 5751 6903 8307 8378 9558 11502 12567 13806 16614 20709 24921 25134 37701 41418 49842 54457 62127 74763 75402 108914 113103 124254 149526 163371 226206 326742 339309 490113 678618 980226 1470339 2940678 4411017 8822034