[go: up one dir, main page]

Search a number
-
+
3430640 = 245193761
BaseRepresentation
bin1101000101100011110000
320110021221202
431011203300
51334240030
6201310332
741105603
oct15054360
96407852
103430640
111a33544
1211953a8
13931685
1465433a
1547b745
hex3458f0

3430640 has 80 divisors (see below), whose sum is σ = 8764320. Its totient is φ = 1244160.

The previous prime is 3430633. The next prime is 3430643. The reversal of 3430640 is 460343.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3430643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56210 + ... + 56270.

It is an arithmetic number, because the mean of its divisors is an integer number (109554).

Almost surely, 23430640 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 3430640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4382160).

3430640 is an abundant number, since it is smaller than the sum of its proper divisors (5333680).

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

3430640 is a wasteful number, since it uses less digits than its factorization.

3430640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3430640 is about 1852.1986934452. The cubic root of 3430640 is about 150.8198075706.

Adding to 3430640 its reverse (460343), we get a palindrome (3890983).

The spelling of 3430640 in words is "three million, four hundred thirty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 61 74 76 80 95 122 148 152 185 190 244 296 304 305 370 380 488 592 610 703 740 760 976 1159 1220 1406 1480 1520 2257 2318 2440 2812 2960 3515 4514 4636 4880 5624 5795 7030 9028 9272 11248 11285 11590 14060 18056 18544 22570 23180 28120 36112 42883 45140 46360 56240 85766 90280 92720 171532 180560 214415 343064 428830 686128 857660 1715320 3430640