Search a number
-
+
3454640 = 245731199
BaseRepresentation
bin1101001011011010110000
320111111212122
431023122300
51341022030
6202013412
741235560
oct15133260
96444778
103454640
111a4a582
1211a7268
1393c587
1465cda0
154838e5
hex34b6b0

3454640 has 80 divisors (see below), whose sum is σ = 9523200. Its totient is φ = 1140480.

The previous prime is 3454631. The next prime is 3454643. The reversal of 3454640 is 464543.

3454640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3454643) 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, 17261 + ... + 17459.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 23454640 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 3454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761600).

3454640 is an abundant number, since it is smaller than the sum of its proper divisors (6068560).

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

3454640 is a wasteful number, since it uses less digits than its factorization.

3454640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 3454640 is about 1858.6661884265. Note that the first 3 decimals coincide. The cubic root of 3454640 is about 151.1706912948.

The spelling of 3454640 in words is "three million, four hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 140 155 199 217 248 280 310 398 434 496 560 620 796 868 995 1085 1240 1393 1592 1736 1990 2170 2480 2786 3184 3472 3980 4340 5572 6169 6965 7960 8680 11144 12338 13930 15920 17360 22288 24676 27860 30845 43183 49352 55720 61690 86366 98704 111440 123380 172732 215915 246760 345464 431830 493520 690928 863660 1727320 3454640