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2234304240 = 243571969997
BaseRepresentation
bin1000010100101100…
…1100011011110000
312202201020102012220
42011023030123300
514033440213430
61005412521040
7106240162350
oct20513143360
95681212186
102234304240
11a4722a933
12524320180
13297b8281c
14172a4ab60
15d1246110
hex852cc6f0

2234304240 has 160 divisors (see below), whose sum is σ = 8332561920. Its totient is φ = 483812352.

The previous prime is 2234304239. The next prime is 2234304263. The reversal of 2234304240 is 424034322.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2234304240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3079 + ... + 66918.

It is an arithmetic number, because the mean of its divisors is an integer number (52078512).

Almost surely, 22234304240 is an apocalyptic number.

2234304240 is a gapful number since it is divisible by the number (20) 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 2234304240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4166280960).

2234304240 is an abundant number, since it is smaller than the sum of its proper divisors (6098257680).

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

2234304240 is a wasteful number, since it uses less digits than its factorization.

2234304240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70039 (or 70033 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 2234304240 is about 47268.4275177417. The cubic root of 2234304240 is about 1307.3165822603.

Adding to 2234304240 its reverse (424034322), we get a palindrome (2658338562).

The spelling of 2234304240 in words is "two billion, two hundred thirty-four million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 35 38 40 42 48 56 57 60 70 76 80 84 95 105 112 114 120 133 140 152 168 190 210 228 240 266 280 285 304 336 380 399 420 456 532 560 570 665 760 798 840 912 1064 1140 1330 1520 1596 1680 1995 2128 2280 2660 3192 3990 4560 5320 6384 7980 10640 15960 31920 69997 139994 209991 279988 349985 419982 489979 559976 699970 839964 979958 1049955 1119952 1329943 1399940 1469937 1679928 1959916 2099910 2449895 2659886 2799880 2939874 3359856 3919832 3989829 4199820 4899790 5319772 5599760 5879748 6649715 7349685 7839664 7979658 8399640 9309601 9799580 10639544 11759496 13299430 14699370 15959316 16799280 18619202 19599160 19949145 21279088 23518992 26598860 27928803 29398740 31918632 37238404 39198320 39898290 46548005 53197720 55857606 58797480 63837264 74476808 79796580 93096010 106395440 111715212 117594960 139644015 148953616 159593160 186192020 223430424 279288030 319186320 372384040 446860848 558576060 744768080 1117152120 2234304240