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34860030 = 23517292357
BaseRepresentation
bin1000010011111…
…0101111111110
32102121001222020
42010332233332
532411010110
63243101010
7602206512
oct204765776
972531866
1034860030
111874a947
12b811766
1372b714a
1448b6142
1530d8d70
hex213ebfe

34860030 has 64 divisors (see below), whose sum is σ = 91679040. Its totient is φ = 8443904.

The previous prime is 34859999. The next prime is 34860037. The reversal of 34860030 is 3006843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34860037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13612 + ... + 15968.

It is an arithmetic number, because the mean of its divisors is an integer number (1432485).

Almost surely, 234860030 is an apocalyptic number.

34860030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34860030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45839520).

34860030 is an abundant number, since it is smaller than the sum of its proper divisors (56819010).

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

34860030 is a wasteful number, since it uses less digits than its factorization.

34860030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34860030 is about 5904.2383081986. The cubic root of 34860030 is about 326.6699997346.

Adding to 34860030 its reverse (3006843), we get a palindrome (37866873).

It can be divided in two parts, 348 and 60030, that added together give a triangular number (60378 = T347).

The spelling of 34860030 in words is "thirty-four million, eight hundred sixty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 986 1479 2357 2465 2958 4714 4930 7071 7395 11785 14142 14790 23570 35355 40069 68353 70710 80138 120207 136706 200345 205059 240414 341765 400690 410118 601035 683530 1025295 1162001 1202070 2050590 2324002 3486003 5810005 6972006 11620010 17430015 34860030