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34049532 = 223113153157
BaseRepresentation
bin1000000111100…
…0110111111100
32101001220011210
42001320313330
532204041112
63213444420
7562262526
oct201706774
971056153
1034049532
1118246a10
12b4a0710
13709226a
144744a16
152ec8b3c
hex2078dfc

34049532 has 96 divisors (see below), whose sum is σ = 91736064. Its totient is φ = 9734400.

The previous prime is 34049527. The next prime is 34049581. The reversal of 34049532 is 23594043.

It is a self number, because there is not a number n which added to its sum of digits gives 34049532.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216798 + ... + 216954.

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

Almost surely, 234049532 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 34049532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45868032).

34049532 is an abundant number, since it is smaller than the sum of its proper divisors (57686532).

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

34049532 is a wasteful number, since it uses less digits than its factorization.

34049532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 34049532 is about 5835.1976830267. The cubic root of 34049532 is about 324.1184218846.

The spelling of 34049532 in words is "thirty-four million, forty-nine thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 53 62 66 93 106 124 132 157 159 186 212 314 318 341 372 471 583 628 636 682 942 1023 1166 1364 1643 1727 1749 1884 2046 2332 3286 3454 3498 4092 4867 4929 5181 6572 6908 6996 8321 9734 9858 10362 14601 16642 18073 19468 19716 20724 24963 29202 33284 36146 49926 53537 54219 58404 72292 91531 99852 107074 108438 160611 183062 214148 216876 257951 274593 321222 366124 515902 549186 642444 773853 1031804 1098372 1547706 2837461 3095412 5674922 8512383 11349844 17024766 34049532