Search a number
-
+
34900460 = 2257892801
BaseRepresentation
bin1000010100100…
…0100111101100
32102200010102122
42011020213230
532413303320
63244012112
7602435420
oct205104754
972603378
1034900460
1118778261
12b831038
1372cc67a
1448c6b80
1530e5d25
hex21489ec

34900460 has 48 divisors (see below), whose sum is σ = 84732480. Its totient is φ = 11827200.

The previous prime is 34900457. The next prime is 34900469. The reversal of 34900460 is 6400943.

It is not an unprimeable number, because it can be changed into a prime (34900469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11060 + ... + 13860.

It is an arithmetic number, because the mean of its divisors is an integer number (1765260).

Almost surely, 234900460 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 34900460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42366240).

34900460 is an abundant number, since it is smaller than the sum of its proper divisors (49832020).

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

34900460 is a wasteful number, since it uses less digits than its factorization.

34900460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 34900460 is about 5907.6611277222. The cubic root of 34900460 is about 326.7962394953.

The spelling of 34900460 in words is "thirty-four million, nine hundred thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 89 140 178 356 445 623 890 1246 1780 2492 2801 3115 5602 6230 11204 12460 14005 19607 28010 39214 56020 78428 98035 196070 249289 392140 498578 997156 1246445 1745023 2492890 3490046 4985780 6980092 8725115 17450230 34900460