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3240340224 = 283113112373
BaseRepresentation
bin1100000100100011…
…1010101100000000
322100211021100010220
43001020322230000
523114011341344
61253311423040
7143204303022
oct30110725400
98324240126
103240340224
1114130a6630
12765224a80
133c84241a4
1422a4ca012
1513e71ac19
hexc123ab00

3240340224 has 144 divisors (see below), whose sum is σ = 9712303104. Its totient is φ = 950169600.

The previous prime is 3240340189. The next prime is 3240340241. The reversal of 3240340224 is 4220430423.

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

It is a junction number, because it is equal to n+sod(n) for n = 3240340194 and 3240340203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255702 + ... + 268074.

Almost surely, 23240340224 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 3240340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856151552).

3240340224 is an abundant number, since it is smaller than the sum of its proper divisors (6471962880).

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

3240340224 is a wasteful number, since it uses less digits than its factorization.

3240340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12434 (or 12420 counting only the distinct ones).

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

The square root of 3240340224 is about 56923.9863677870. The cubic root of 3240340224 is about 1479.7790368927.

Adding to 3240340224 its reverse (4220430423), we get a palindrome (7460770647).

It can be divided in two parts, 32403 and 40224, that added together give a palindrome (72627).

The spelling of 3240340224 in words is "three billion, two hundred forty million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 248 256 264 341 352 372 384 496 528 682 704 744 768 992 1023 1056 1364 1408 1488 1984 2046 2112 2728 2816 2976 3968 4092 4224 5456 5952 7936 8184 8448 10912 11904 12373 16368 21824 23808 24746 32736 37119 43648 49492 65472 74238 87296 98984 130944 136103 148476 197968 261888 272206 296952 383563 395936 408309 544412 593904 767126 791872 816618 1088824 1150689 1187808 1534252 1583744 1633236 2177648 2301378 2375616 3068504 3167488 3266472 4219193 4355296 4602756 4751232 6137008 6532944 8438386 8710592 9205512 9502464 12274016 12657579 13065888 16876772 17421184 18411024 24548032 25315158 26131776 33753544 34842368 36822048 49096064 50630316 52263552 67507088 73644096 98192128 101260632 104527104 135014176 147288192 202521264 270028352 294576384 405042528 540056704 810085056 1080113408 1620170112 3240340224