[go: up one dir, main page]

Search a number
-
+
3314740 = 22511131961
BaseRepresentation
bin1100101001010000110100
320020101222011
430221100310
51322032430
6155014004
740113652
oct14512064
96211864
103314740
111964460
12113a304
138c09b0
14623dd2
1545722a
hex329434

3314740 has 96 divisors (see below), whose sum is σ = 8749440. Its totient is φ = 1036800.

The previous prime is 3314713. The next prime is 3314747. The reversal of 3314740 is 474133.

3314740 = T24 + T25 + ... + T270.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54310 + ... + 54370.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

Almost surely, 23314740 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 3314740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374720).

3314740 is an abundant number, since it is smaller than the sum of its proper divisors (5434700).

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

3314740 is a wasteful number, since it uses less digits than its factorization.

3314740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 3314740 is about 1820.6427436485. The cubic root of 3314740 is about 149.1018926795.

Adding to 3314740 its reverse (474133), we get a palindrome (3788873).

The spelling of 3314740 in words is "three million, three hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 13 19 20 22 26 38 44 52 55 61 65 76 95 110 122 130 143 190 209 220 244 247 260 286 305 380 418 494 572 610 671 715 793 836 988 1045 1159 1220 1235 1342 1430 1586 2090 2318 2470 2684 2717 2860 3172 3355 3965 4180 4636 4940 5434 5795 6710 7930 8723 10868 11590 12749 13420 13585 15067 15860 17446 23180 25498 27170 30134 34892 43615 50996 54340 60268 63745 75335 87230 127490 150670 165737 174460 254980 301340 331474 662948 828685 1657370 3314740