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3424232240 = 2451121327211
BaseRepresentation
bin1100110000011001…
…1010001100110000
322211122022000120022
43030012122030300
524003100412430
61323441103012
7150566331242
oct31406321460
98748260508
103424232240
1114a7987400
127b6927a68
1342755b730
14246ab8092
151509424e5
hexcc19a330

3424232240 has 120 divisors (see below), whose sum is σ = 9424386384. Its totient is φ = 1149350400.

The previous prime is 3424232237. The next prime is 3424232267. The reversal of 3424232240 is 422324243.

It is a happy number.

It is a super-3 number, since 3×34242322403 (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112235 + ... + 139445.

Almost surely, 23424232240 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 3424232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4712193192).

3424232240 is an abundant number, since it is smaller than the sum of its proper divisors (6000154144).

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

3424232240 is a wasteful number, since it uses less digits than its factorization.

3424232240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27259 (or 27242 counting only the distinct ones).

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

The square root of 3424232240 is about 58516.9397696086. The cubic root of 3424232240 is about 1507.2584847964.

Adding to 3424232240 its reverse (422324243), we get a palindrome (3846556483).

The spelling of 3424232240 in words is "three billion, four hundred twenty-four million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 121 130 143 176 208 220 242 260 286 440 484 520 572 605 715 880 968 1040 1144 1210 1430 1573 1936 2288 2420 2860 3146 4840 5720 6292 7865 9680 11440 12584 15730 25168 27211 31460 54422 62920 108844 125840 136055 217688 272110 299321 353743 435376 544220 598642 707486 1088440 1197284 1414972 1496605 1768715 2176880 2394568 2829944 2993210 3292531 3537430 3891173 4789136 5659888 5986420 6585062 7074860 7782346 11972840 13170124 14149720 15564692 16462655 19455865 23945680 26340248 28299440 31129384 32925310 38911730 42802903 52680496 62258768 65850620 77823460 85605806 131701240 155646920 171211612 214014515 263402480 311293840 342423224 428029030 684846448 856058060 1712116120 3424232240