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1434424000 = 2653199437
BaseRepresentation
bin101010101111111…
…1001001011000000
310200222010021210211
41111133321023000
510414203032000
6354200403504
750355255112
oct12537711300
93628107724
101434424000
11676770a89
12340476594
1319b2422c9
14d87133b2
1585de47ba
hex557f92c0

1434424000 has 112 divisors (see below), whose sum is σ = 3739713120. Its totient is φ = 543513600.

The previous prime is 1434423997. The next prime is 1434424027. The reversal of 1434424000 is 4244341.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147282 + ... + 156718.

Almost surely, 21434424000 is an apocalyptic number.

1434424000 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 1434424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869856560).

1434424000 is an abundant number, since it is smaller than the sum of its proper divisors (2305289120).

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

1434424000 is an equidigital number, since it uses as much as digits as its factorization.

1434424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 1434424000 is about 37873.7904097279. The cubic root of 1434424000 is about 1127.7837890180.

Adding to 1434424000 its reverse (4244341), we get a palindrome (1438668341).

The spelling of 1434424000 in words is "one billion, four hundred thirty-four million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 125 152 160 190 200 250 304 320 380 400 475 500 608 760 800 950 1000 1216 1520 1600 1900 2000 2375 3040 3800 4000 4750 6080 7600 8000 9437 9500 15200 18874 19000 30400 37748 38000 47185 75496 76000 94370 150992 152000 179303 188740 235925 301984 358606 377480 471850 603968 717212 754960 896515 943700 1179625 1434424 1509920 1793030 1887400 2359250 2868848 3019840 3586060 3774800 4482575 4718500 5737696 7172120 7549600 8965150 9437000 11475392 14344240 15099200 17930300 18874000 22412875 28688480 35860600 37748000 44825750 57376960 71721200 75496000 89651500 143442400 179303000 286884800 358606000 717212000 1434424000