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3224243440 = 245112397839
BaseRepresentation
bin1100000000101110…
…0000110011110000
322022200222112111201
43000023200303300
523100401242230
61251534420544
7142620421435
oct30013406360
98280875451
103224243440
111405001900
1275b961754
133c4ca9572
142282d9b8c
1513d0db5ca
hexc02e0cf0

3224243440 has 120 divisors (see below), whose sum is σ = 8270408160. Its totient is φ = 1168104960.

The previous prime is 3224243423. The next prime is 3224243447. The reversal of 3224243440 is 443424223.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3224243399 and 3224243408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3224243447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3842541 + ... + 3843379.

It is an arithmetic number, because the mean of its divisors is an integer number (68920068).

Almost surely, 23224243440 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 3224243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135204080).

3224243440 is an abundant number, since it is smaller than the sum of its proper divisors (5046164720).

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

3224243440 is a wasteful number, since it uses less digits than its factorization.

3224243440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

The square root of 3224243440 is about 56782.4219279171. The cubic root of 3224243440 is about 1477.3246408024.

Adding to 3224243440 its reverse (443424223), we get a palindrome (3667667663).

The spelling of 3224243440 in words is "three billion, two hundred twenty-four million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 397 440 484 605 794 839 880 968 1210 1588 1678 1936 1985 2420 3176 3356 3970 4195 4367 4840 6352 6712 7940 8390 8734 9229 9680 13424 15880 16780 17468 18458 21835 31760 33560 34936 36916 43670 46145 48037 67120 69872 73832 87340 92290 96074 101519 147664 174680 184580 192148 203038 240185 333083 349360 369160 384296 406076 480370 507595 666166 738320 768592 812152 960740 1015190 1332332 1624304 1665415 1921480 2030380 2664664 3330830 3663913 3842960 4060760 5329328 6661660 7327826 8121520 13323320 14655652 18319565 26646640 29311304 36639130 40303043 58622608 73278260 80606086 146556520 161212172 201515215 293113040 322424344 403030430 644848688 806060860 1612121720 3224243440