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34072542 = 2337279163
BaseRepresentation
bin1000000111111…
…0011111011110
32101010001202000
42001332133132
532210310132
63214143130
7562416600
oct201763736
971101660
1034072542
1118262229
12b4b1aa6
13709c88a
14474d170
152ed087c
hex207e7de

34072542 has 96 divisors (see below), whose sum is σ = 89740800. Its totient is φ = 9552816.

The previous prime is 34072501. The next prime is 34072561. The reversal of 34072542 is 24527043.

34072542 is a `hidden beast` number, since 3 + 407 + 254 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208953 + ... + 209115.

It is an arithmetic number, because the mean of its divisors is an integer number (934800).

Almost surely, 234072542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34072542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44870400).

34072542 is an abundant number, since it is smaller than the sum of its proper divisors (55668258).

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

34072542 is a wasteful number, since it uses less digits than its factorization.

34072542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 34072542 is about 5837.1690056054. The cubic root of 34072542 is about 324.1914163831.

Adding to 34072542 its reverse (24527043), we get a palindrome (58599585).

The spelling of 34072542 in words is "thirty-four million, seventy-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 79 98 126 147 158 163 189 237 294 326 378 441 474 489 553 711 882 978 1106 1141 1323 1422 1467 1659 2133 2282 2646 2934 3318 3423 3871 4266 4401 4977 6846 7742 7987 8802 9954 10269 11613 12877 14931 15974 20538 23226 23961 25754 29862 30807 34839 38631 47922 61614 69678 71883 77262 90139 104517 115893 143766 180278 209034 215649 231786 270417 347679 431298 540834 630973 695358 811251 1261946 1622502 1892919 2433753 3785838 4867506 5678757 11357514 17036271 34072542