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3431680 = 2857383
BaseRepresentation
bin1101000101110100000000
320110100101021
431011310000
51334303210
6201315224
741111620
oct15056400
96410337
103431680
111a342aa
121195b14
13931ca5
14654880
1547bbda
hex345d00

3431680 has 72 divisors (see below), whose sum is σ = 9418752. Its totient is φ = 1173504.

The previous prime is 3431641. The next prime is 3431689. The reversal of 3431680 is 861343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8769 + ... + 9151.

It is an arithmetic number, because the mean of its divisors is an integer number (130816).

Almost surely, 23431680 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 3431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4709376).

3431680 is an abundant number, since it is smaller than the sum of its proper divisors (5987072).

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

3431680 is an equidigital number, since it uses as much as digits as its factorization.

3431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 3431680 is about 1852.4794195888. The cubic root of 3431680 is about 150.8350463941.

The spelling of 3431680 in words is "three million, four hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 383 448 560 640 766 896 1120 1280 1532 1792 1915 2240 2681 3064 3830 4480 5362 6128 7660 8960 10724 12256 13405 15320 21448 24512 26810 30640 42896 49024 53620 61280 85792 98048 107240 122560 171584 214480 245120 343168 428960 490240 686336 857920 1715840 3431680