Search a number
-
+
3431040 = 27351787
BaseRepresentation
bin1101000101101010000000
320110022111120
431011222000
51334243130
6201312240
741110014
oct15055200
96408446
103431040
111a33878
121195680
13931902
14654544
1547b910
hex345a80

3431040 has 64 divisors (see below), whose sum is σ = 10942560. Its totient is φ = 914432.

The previous prime is 3431017. The next prime is 3431053. The reversal of 3431040 is 401343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 2813.

Almost surely, 23431040 is an apocalyptic number.

3431040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471280).

3431040 is an abundant number, since it is smaller than the sum of its proper divisors (7511520).

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

3431040 is a wasteful number, since it uses less digits than its factorization.

3431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3431040 is about 1852.3066700738. The cubic root of 3431040 is about 150.8256690210.

Adding to 3431040 its reverse (401343), we get a palindrome (3832383).

The spelling of 3431040 in words is "three million, four hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1787 1920 3574 5361 7148 8935 10722 14296 17870 21444 26805 28592 35740 42888 53610 57184 71480 85776 107220 114368 142960 171552 214440 228736 285920 343104 428880 571840 686208 857760 1143680 1715520 3431040