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34427360 = 2551131631
BaseRepresentation
bin1000001101010…
…1000111100000
32101210002110102
42003111013200
532303133420
63225521532
7565425212
oct203250740
971702412
1034427360
1118484870
12b6432a8
137195226
1448025b2
153050a75
hex20d51e0

34427360 has 96 divisors (see below), whose sum is σ = 91736064. Its totient is φ = 12096000.

The previous prime is 34427339. The next prime is 34427383. The reversal of 34427360 is 6372443.

It is a happy number.

It is a congruent number.

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, 54245 + ... + 54875.

It is an arithmetic number, because the mean of its divisors is an integer number (955584).

Almost surely, 234427360 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 34427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45868032).

34427360 is an abundant number, since it is smaller than the sum of its proper divisors (57308704).

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

34427360 is a wasteful number, since it uses less digits than its factorization.

34427360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 29.

The square root of 34427360 is about 5867.4832764994. The cubic root of 34427360 is about 325.3128663705.

The spelling of 34427360 in words is "thirty-four million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 631 682 880 992 1240 1262 1364 1705 1760 2480 2524 2728 3155 3410 4960 5048 5456 6310 6820 6941 10096 10912 12620 13640 13882 19561 20192 25240 27280 27764 34705 39122 50480 54560 55528 69410 78244 97805 100960 111056 138820 156488 195610 215171 222112 277640 312976 391220 430342 555280 625952 782440 860684 1075855 1110560 1564880 1721368 2151710 3129760 3442736 4303420 6885472 8606840 17213680 34427360