Search a number
-
+
4022341040 = 245193721933
BaseRepresentation
bin1110111111000000…
…0000110110110000
3101101022202002121002
43233300000312300
531214204403130
61503044421132
7201451222544
oct35760006660
911338662532
104022341040
1117845633a3
129430a77a8
134c1444573
142a22cba24
151881d9b45
hexefc00db0

4022341040 has 120 divisors (see below), whose sum is σ = 10122633360. Its totient is φ = 1482292224.

The previous prime is 4022341019. The next prime is 4022341069. The reversal of 4022341040 is 401432204.

Adding to 4022341040 its reverse (401432204), we get a palindrome (4423773244).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079914 + ... + 2081846.

It is an arithmetic number, because the mean of its divisors is an integer number (84355278).

Almost surely, 24022341040 is an apocalyptic number.

4022341040 is a gapful number since it is divisible by the number (40) 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 4022341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5061316680).

4022341040 is an abundant number, since it is smaller than the sum of its proper divisors (6100292320).

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

4022341040 is a wasteful number, since it uses less digits than its factorization.

4022341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4022341040 is about 63421.9286997802. The cubic root of 4022341040 is about 1590.3509160462.

The spelling of 4022341040 in words is "four billion, twenty-two million, three hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 37 38 40 74 76 80 95 148 152 185 190 296 304 370 380 592 703 740 760 1369 1406 1480 1520 1933 2738 2812 2960 3515 3866 5476 5624 6845 7030 7732 9665 10952 11248 13690 14060 15464 19330 21904 26011 27380 28120 30928 36727 38660 52022 54760 56240 71521 73454 77320 104044 109520 130055 143042 146908 154640 183635 208088 260110 286084 293816 357605 367270 416176 520220 572168 587632 715210 734540 1040440 1144336 1358899 1430420 1469080 2080880 2646277 2717798 2860840 2938160 5292554 5435596 5721680 6794495 10585108 10871192 13231385 13588990 21170216 21742384 26462770 27177980 42340432 50279263 52925540 54355960 100558526 105851080 108711920 201117052 211702160 251396315 402234104 502792630 804468208 1005585260 2011170520 4022341040