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3423143424 = 29315114759
BaseRepresentation
bin1100110000001001…
…0000011000000000
322211120020200222210
43030002100120000
524002311042144
61323401502120
7150554144661
oct31402203000
98746220883
103423143424
1114a7303358
127b64a1940
13427269c6c
142468b3368
151507c9ab9
hexcc090600

3423143424 has 80 divisors (see below), whose sum is σ = 9180483840. Its totient is φ = 1133414400.

The previous prime is 3423143407. The next prime is 3423143453. The reversal of 3423143424 is 4243413243.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3423143391 and 3423143400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 224557 + ... + 239315.

It is an arithmetic number, because the mean of its divisors is an integer number (114756048).

Almost surely, 23423143424 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 3423143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590241920).

3423143424 is an abundant number, since it is smaller than the sum of its proper divisors (5757340416).

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

3423143424 is a wasteful number, since it uses less digits than its factorization.

3423143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14931 (or 14915 counting only the distinct ones).

The product of its digits is 27648, while the sum is 30.

The square root of 3423143424 is about 58507.6356042525. The cubic root of 3423143424 is about 1507.0987116448.

Adding to 3423143424 its reverse (4243413243), we get a palindrome (7666556667).

The spelling of 3423143424 in words is "three billion, four hundred twenty-three million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 512 604 768 906 1208 1536 1812 2416 3624 4832 7248 9664 14496 14759 19328 28992 29518 38656 44277 57984 59036 77312 88554 115968 118072 177108 231936 236144 354216 472288 708432 944576 1416864 1889152 2228609 2833728 3778304 4457218 5667456 6685827 7556608 8914436 11334912 13371654 17828872 22669824 26743308 35657744 53486616 71315488 106973232 142630976 213946464 285261952 427892928 570523904 855785856 1141047808 1711571712 3423143424