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34100442 = 2327972377
BaseRepresentation
bin1000001000010…
…1010011011010
32101011111000100
42002011103122
532212203232
63214520230
7562564125
oct202052332
971144010
1034100442
1118281192
12b506076
1370ac49c
1447593bc
152ed8c7c
hex20854da

34100442 has 24 divisors (see below), whose sum is σ = 74008116. Its totient is φ = 11347776.

The previous prime is 34100431. The next prime is 34100449. The reversal of 34100442 is 24400143.

It can be written as a sum of positive squares in 2 ways, for example, as 33977241 + 123201 = 5829^2 + 351^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (34100449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13158 + ... + 15534.

Almost surely, 234100442 is an apocalyptic number.

34100442 is an abundant number, since it is smaller than the sum of its proper divisors (39907674).

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

34100442 is a wasteful number, since it uses less digits than its factorization.

34100442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3179 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34100442 is about 5839.5583737129. The cubic root of 34100442 is about 324.2798793341.

Adding to 34100442 its reverse (24400143), we get a palindrome (58500585).

The spelling of 34100442 in words is "thirty-four million, one hundred thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 797 1594 2377 2391 4754 4782 7131 7173 14262 14346 21393 42786 1894469 3788938 5683407 11366814 17050221 34100442