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1424034200 = 235247197769
BaseRepresentation
bin101010011100001…
…0000100110011000
310200020120102200102
41110320100212120
510404023043300
6353145554532
750201043131
oct12470204630
93606512612
101424034200
11670914a76
12338aa5a48
131990451b4
14d71aac88
15850410d5
hex54e10998

1424034200 has 96 divisors (see below), whose sum is σ = 3402907200. Its totient is φ = 553943040.

The previous prime is 1424034179. The next prime is 1424034229. The reversal of 1424034200 is 24304241.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1851416 + ... + 1852184.

It is an arithmetic number, because the mean of its divisors is an integer number (35446950).

Almost surely, 21424034200 is an apocalyptic number.

1424034200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1424034200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701453600).

1424034200 is an abundant number, since it is smaller than the sum of its proper divisors (1978873000).

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

1424034200 is a wasteful number, since it uses less digits than its factorization.

1424034200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1424034200 is about 37736.3776745993. The cubic root of 1424034200 is about 1125.0542722789.

Adding to 1424034200 its reverse (24304241), we get a palindrome (1448338441).

The spelling of 1424034200 in words is "one billion, four hundred twenty-four million, thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 188 197 200 235 376 394 470 769 788 940 985 1175 1538 1576 1880 1970 2350 3076 3845 3940 4700 4925 6152 7690 7880 9259 9400 9850 15380 18518 19225 19700 30760 36143 37036 38450 39400 46295 72286 74072 76900 92590 144572 151493 153800 180715 185180 231475 289144 302986 361430 370360 462950 605972 722860 757465 903575 925900 1211944 1445720 1514930 1807150 1851800 3029860 3614300 3787325 6059720 7120171 7228600 7574650 14240342 15149300 28480684 30298600 35600855 56961368 71201710 142403420 178004275 284806840 356008550 712017100 1424034200