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4232234240 = 285131671523
BaseRepresentation
bin1111110001000010…
…1100010100000000
3101220221200202221022
43330100230110000
532131422443430
61535543245012
7206610253223
oct37420542400
911827622838
104232234240
111881a93253
129a1449768
13525a83920
142c21275ba
1519b84a4e5
hexfc42c500

4232234240 has 144 divisors (see below), whose sum is σ = 10989917568. Its totient is φ = 1552293888.

The previous prime is 4232234207. The next prime is 4232234261. The reversal of 4232234240 is 424322324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778119 + ... + 2779641.

It is an arithmetic number, because the mean of its divisors is an integer number (76318872).

Almost surely, 24232234240 is an apocalyptic number.

4232234240 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 4232234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5494958784).

4232234240 is an abundant number, since it is smaller than the sum of its proper divisors (6757683328).

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

4232234240 is a wasteful number, since it uses less digits than its factorization.

4232234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 4232234240 is about 65055.6241996032. The cubic root of 4232234240 is about 1617.5457222825.

Adding to 4232234240 its reverse (424322324), we get a palindrome (4656556564).

The spelling of 4232234240 in words is "four billion, two hundred thirty-two million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 167 208 256 260 320 334 416 520 640 668 832 835 1040 1280 1336 1523 1664 1670 2080 2171 2672 3046 3328 3340 4160 4342 5344 6092 6680 7615 8320 8684 10688 10855 12184 13360 15230 16640 17368 19799 21376 21710 24368 26720 30460 34736 39598 42752 43420 48736 53440 60920 69472 79196 86840 97472 98995 106880 121840 138944 158392 173680 194944 197990 213760 243680 254341 277888 316784 347360 389888 395980 487360 508682 555776 633568 694720 791960 974720 1017364 1267136 1271705 1389440 1583920 1949440 2034728 2534272 2543410 2778880 3167840 3306433 4069456 5068544 5086820 6335680 6612866 8138912 10173640 12671360 13225732 16277824 16532165 20347280 25342720 26451464 32555648 33064330 40694560 52902928 65111296 66128660 81389120 105805856 132257320 162778240 211611712 264514640 325556480 423223424 529029280 846446848 1058058560 2116117120 4232234240