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1434532000 = 25531132603
BaseRepresentation
bin101010110000001…
…0011100010100000
310200222022202221211
41111200103202200
510414220011000
6354202555504
750356215016
oct12540234240
93628282854
101434532000
11676835140
12340508b94
1319b27c505
14d87408b6
1585e167ba
hex558138a0

1434532000 has 96 divisors (see below), whose sum is σ = 3845185344. Its totient is φ = 521632000.

The previous prime is 1434531983. The next prime is 1434532003. The reversal of 1434532000 is 2354341.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1434532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27699 + ... + 60301.

It is an arithmetic number, because the mean of its divisors is an integer number (40054014).

Almost surely, 21434532000 is an apocalyptic number.

1434532000 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 1434532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1922592672).

1434532000 is an abundant number, since it is smaller than the sum of its proper divisors (2410653344).

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

1434532000 is a wasteful number, since it uses less digits than its factorization.

1434532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32639 (or 32621 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 1434532000 is about 37875.2161710003. The cubic root of 1434532000 is about 1127.8120925025.

Adding to 1434532000 its reverse (2354341), we get a palindrome (1436886341).

The spelling of 1434532000 in words is "one billion, four hundred thirty-four million, five hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 800 880 1000 1100 1375 1760 2000 2200 2750 4000 4400 5500 8800 11000 22000 32603 44000 65206 130412 163015 260824 326030 358633 521648 652060 717266 815075 1043296 1304120 1434532 1630150 1793165 2608240 2869064 3260300 3586330 4075375 5216480 5738128 6520600 7172660 8150750 8965825 11476256 13041200 14345320 16301500 17931650 26082400 28690640 32603000 35863300 44829125 57381280 65206000 71726600 89658250 130412000 143453200 179316500 286906400 358633000 717266000 1434532000