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1424302000 = 245311101641
BaseRepresentation
bin101010011100101…
…0001111110110000
310200021002001000221
41110321101332300
510404110131000
6353155422424
750203236652
oct12471217660
93607061027
101424302000
11670a881a0
12338bb4a14
1319910a064
14d723a6d2
158509561a
hex54e51fb0

1424302000 has 160 divisors (see below), whose sum is σ = 3800167488. Its totient is φ = 512000000.

The previous prime is 1424301971. The next prime is 1424302001. The reversal of 1424302000 is 2034241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1424302001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2221680 + ... + 2222320.

Almost surely, 21424302000 is an apocalyptic number.

1424302000 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 1424302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900083744).

1424302000 is an abundant number, since it is smaller than the sum of its proper divisors (2375865488).

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

1424302000 is a wasteful number, since it uses less digits than its factorization.

1424302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1424302000 is about 37739.9258080882. The cubic root of 1424302000 is about 1125.1247927410.

Adding to 1424302000 its reverse (2034241), we get a palindrome (1426336241).

The spelling of 1424302000 in words is "one billion, four hundred twenty-four million, three hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 125 176 200 202 220 250 275 400 404 440 500 505 550 641 808 880 1000 1010 1100 1111 1282 1375 1616 2000 2020 2200 2222 2525 2564 2750 3205 4040 4400 4444 5050 5128 5500 5555 6410 7051 8080 8888 10100 10256 11000 11110 12625 12820 14102 16025 17776 20200 22000 22220 25250 25640 27775 28204 32050 35255 40400 44440 50500 51280 55550 56408 64100 64741 70510 80125 88880 101000 111100 112816 128200 129482 138875 141020 160250 176275 202000 222200 256400 258964 277750 282040 320500 323705 352550 444400 517928 555500 564080 641000 647410 705100 712151 881375 1035856 1111000 1282000 1294820 1410200 1424302 1618525 1762750 2222000 2589640 2820400 2848604 3237050 3525500 3560755 5179280 5697208 6474100 7051000 7121510 8092625 11394416 12948200 14102000 14243020 16185250 17803775 25896400 28486040 32370500 35607550 56972080 64741000 71215100 89018875 129482000 142430200 178037750 284860400 356075500 712151000 1424302000