Search a number
-
+
3341920000 = 285420887
BaseRepresentation
bin1100011100110001…
…1010011100000000
322121220102010101211
43013030122130000
523321012420000
61311340535504
7145546564666
oct30714323400
98556363354
103341920000
111465476a61
12793251594
1341349ba73
14239bacc36
151485d37ba
hexc731a700

3341920000 has 90 divisors (see below), whose sum is σ = 8336212808. Its totient is φ = 1336704000.

The previous prime is 3341919887. The next prime is 3341920003. The reversal of 3341920000 is 291433.

It is a super-2 number, since 2×33419200002 = 22336858572800000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3341920003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 149557 + ... + 170443.

Almost surely, 23341920000 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 3341920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4168106404).

3341920000 is an abundant number, since it is smaller than the sum of its proper divisors (4994292808).

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

3341920000 is an frugal number, since it uses more digits than its factorization.

3341920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20923 (or 20894 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 3341920000 is about 57809.3418056286. The cubic root of 3341920000 is about 1495.0831599920.

The spelling of 3341920000 in words is "three billion, three hundred forty-one million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 20887 32000 40000 41774 80000 83548 104435 160000 167096 208870 334192 417740 522175 668384 835480 1044350 1336768 1670960 2088700 2610875 2673536 3341920 4177400 5221750 5347072 6683840 8354800 10443500 13054375 13367680 16709600 20887000 26108750 26735360 33419200 41774000 52217500 66838400 83548000 104435000 133676800 167096000 208870000 334192000 417740000 668384000 835480000 1670960000 3341920000