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34051472 = 2472132257
BaseRepresentation
bin1000000111100…
…1010110010000
32101001222211122
42001321112100
532204121342
63213501412
7562301300
oct201712620
971058748
1034051472
1118248414
12b4a1868
137093100
144745600
152ec94d2
hex2079590

34051472 has 90 divisors (see below), whose sum is σ = 83427138. Its totient is φ = 13418496.

The previous prime is 34051471. The next prime is 34051499. The reversal of 34051472 is 27415043.

It can be written as a sum of positive squares in 3 ways, for example, as 3625216 + 30426256 = 1904^2 + 5516^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34051471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 132368 + ... + 132624.

Almost surely, 234051472 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 34051472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41713569).

34051472 is an abundant number, since it is smaller than the sum of its proper divisors (49375666).

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

34051472 is a wasteful number, since it uses less digits than its factorization.

34051472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 34051472 is about 5835.3639132448. The cubic root of 34051472 is about 324.1245774053.

The spelling of 34051472 in words is "thirty-four million, fifty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 257 338 364 392 514 637 676 728 784 1028 1183 1274 1352 1456 1799 2056 2366 2548 2704 3341 3598 4112 4732 5096 6682 7196 8281 9464 10192 12593 13364 14392 16562 18928 23387 25186 26728 28784 33124 43433 46774 50372 53456 66248 86866 93548 100744 132496 163709 173732 187096 201488 304031 327418 347464 374192 608062 654836 694928 1216124 1309672 2128217 2432248 2619344 4256434 4864496 8512868 17025736 34051472