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1434210000 = 2435447807
BaseRepresentation
bin101010101111100…
…0100111011010000
310200221201102020220
41111133010323100
510414124210000
6354152033040
750353404156
oct12537047320
93627642226
101434210000
11676635223
12340392780
1319b198a92
14d86993d6
1585da11a0
hex557c4ed0

1434210000 has 100 divisors (see below), whose sum is σ = 4629917952. Its totient is φ = 382448000.

The previous prime is 1434209983. The next prime is 1434210031. The reversal of 1434210000 is 124341.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6097 + ... + 53903.

Almost surely, 21434210000 is an apocalyptic number.

1434210000 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 1434210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314958976).

1434210000 is an abundant number, since it is smaller than the sum of its proper divisors (3195707952).

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

1434210000 is an equidigital number, since it uses as much as digits as its factorization.

1434210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47838 (or 47817 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1434210000 is about 37870.9651316150. The cubic root of 1434210000 is about 1127.7277019908.

Adding to 1434210000 its reverse (124341), we get a palindrome (1434334341).

It can be divided in two parts, 14342 and 10000, that added together give a palindrome (24342).

The spelling of 1434210000 in words is "one billion, four hundred thirty-four million, two hundred ten thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 625 750 1000 1200 1250 1500 1875 2000 2500 3000 3750 5000 6000 7500 10000 15000 30000 47807 95614 143421 191228 239035 286842 382456 478070 573684 717105 764912 956140 1147368 1195175 1434210 1912280 2294736 2390350 2868420 3585525 3824560 4780700 5736840 5975875 7171050 9561400 11473680 11951750 14342100 17927625 19122800 23903500 28684200 29879375 35855250 47807000 57368400 59758750 71710500 89638125 95614000 119517500 143421000 179276250 239035000 286842000 358552500 478070000 717105000 1434210000