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34427988 = 22327229673
BaseRepresentation
bin1000001101010…
…1010001010100
32101210010022200
42003111101110
532303143423
63225524500
7565430100
oct203252124
971703280
1034427988
1118485291
12b643730
1371955ba
144802900
153050d43
hex20d5454

34427988 has 108 divisors (see below), whose sum is σ = 104881140. Its totient is φ = 9483264.

The previous prime is 34427969. The next prime is 34427989. The reversal of 34427988 is 88972443.

It can be written as a sum of positive squares in 2 ways, for example, as 14607684 + 19820304 = 3822^2 + 4452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34427989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50820 + ... + 51492.

Almost surely, 234427988 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 34427988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52440570).

34427988 is an abundant number, since it is smaller than the sum of its proper divisors (70453152).

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

34427988 is a wasteful number, since it uses less digits than its factorization.

34427988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 34427988 is about 5867.5367915336. The cubic root of 34427988 is about 325.3148444023.

The spelling of 34427988 in words is "thirty-four million, four hundred twenty-seven thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 673 812 882 1044 1218 1346 1421 1764 1827 2019 2436 2692 2842 3654 4038 4263 4711 5684 6057 7308 8076 8526 9422 12114 12789 14133 17052 18844 19517 24228 25578 28266 32977 39034 42399 51156 56532 58551 65954 78068 84798 98931 117102 131908 136619 169596 175653 197862 234204 273238 296793 351306 395724 409857 546476 593586 702612 819714 956333 1187172 1229571 1639428 1912666 2459142 2868999 3825332 4918284 5737998 8606997 11475996 17213994 34427988