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34819146 = 234372157
BaseRepresentation
bin1000010011010…
…0110001001010
32102111222220000
42010310301022
532403203041
63242143430
7601646355
oct204646112
972458800
1034819146
111872215a
12b7b1b76
1372a165b
1448a529c
1530cbbb6
hex2134c4a

34819146 has 60 divisors (see below), whose sum is σ = 80697078. Its totient is φ = 11220768.

The previous prime is 34819139. The next prime is 34819199. The reversal of 34819146 is 64191843.

It can be written as a sum of positive squares in 3 ways, for example, as 34751025 + 68121 = 5895^2 + 261^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34819146.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 221700 + ... + 221856.

Almost surely, 234819146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34819146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40348539).

34819146 is an abundant number, since it is smaller than the sum of its proper divisors (45877932).

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

34819146 is a wasteful number, since it uses less digits than its factorization.

34819146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 199 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 34819146 is about 5900.7750338409. The cubic root of 34819146 is about 326.5422430953.

The spelling of 34819146 in words is "thirty-four million, eight hundred nineteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 157 162 222 314 333 471 666 942 999 1369 1413 1998 2738 2826 2997 4107 4239 5809 5994 8214 8478 11618 12321 12717 17427 24642 25434 34854 36963 52281 73926 104562 110889 156843 214933 221778 313686 429866 470529 644799 941058 1289598 1934397 3868794 5803191 11606382 17409573 34819146