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3431244024 = 2333134725999
BaseRepresentation
bin1100110010000100…
…1010000011111000
322212010111020221000
43030201022003320
524011344302044
61324251245000
7151013043615
oct31441120370
98763436830
103431244024
11150093646a
127b9149760
13428b45110
142479c150c
15151379d69
hexcc84a0f8

3431244024 has 128 divisors (see below), whose sum is σ = 10483200000. Its totient is φ = 1033264512.

The previous prime is 3431244023. The next prime is 3431244031. The reversal of 3431244024 is 4204421343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431244023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 118977 + ... + 144975.

It is an arithmetic number, because the mean of its divisors is an integer number (81900000).

Almost surely, 23431244024 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 3431244024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600000).

3431244024 is an abundant number, since it is smaller than the sum of its proper divisors (7051955976).

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

3431244024 is a wasteful number, since it uses less digits than its factorization.

3431244024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26074 (or 26064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 3431244024 is about 58576.8215593847. The cubic root of 3431244024 is about 1508.2865853695.

Adding to 3431244024 its reverse (4204421343), we get a palindrome (7635665367).

The spelling of 3431244024 in words is "three billion, four hundred thirty-one million, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 47 52 54 72 78 94 104 108 117 141 156 188 216 234 282 312 351 376 423 468 564 611 702 846 936 1128 1222 1269 1404 1692 1833 2444 2538 2808 3384 3666 4888 5076 5499 7332 10152 10998 14664 16497 21996 25999 32994 43992 51998 65988 77997 103996 131976 155994 207992 233991 311988 337987 467982 623976 675974 701973 935964 1013961 1221953 1351948 1403946 1871928 2027922 2443906 2703896 2807892 3041883 3665859 4055844 4887812 5615784 6083766 7331718 8111688 9125649 9775624 10997577 12167532 14663436 15885389 18251298 21995154 24335064 29326872 31770778 32992731 36502596 43990308 47656167 63541556 65985462 73005192 87980616 95312334 127083112 131970924 142968501 190624668 263941848 285937002 381249336 428905503 571874004 857811006 1143748008 1715622012 3431244024