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1434480 = 243543139
BaseRepresentation
bin101011110001101110000
32200212201220
411132031300
5331400410
650425040
715123105
oct5361560
92625656
101434480
1189a823
12592180
133b2c08
14294aac
151d5070
hex15e370

1434480 has 80 divisors (see below), whose sum is σ = 4583040. Its totient is φ = 370944.

The previous prime is 1434473. The next prime is 1434491. The reversal of 1434480 is 844341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1434480.

It is a congruent number.

It is an unprimeable number.

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, 10251 + ... + 10389.

It is an arithmetic number, because the mean of its divisors is an integer number (57288).

21434480 is an apocalyptic number.

1434480 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 1434480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291520).

1434480 is an abundant number, since it is smaller than the sum of its proper divisors (3148560).

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

1434480 is a wasteful number, since it uses less digits than its factorization.

1434480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1434480 is about 1197.6977915985. The cubic root of 1434480 is about 112.7798465076.

The spelling of 1434480 in words is "one million, four hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 139 172 215 240 258 278 344 417 430 516 556 645 688 695 834 860 1032 1112 1290 1390 1668 1720 2064 2085 2224 2580 2780 3336 3440 4170 5160 5560 5977 6672 8340 10320 11120 11954 16680 17931 23908 29885 33360 35862 47816 59770 71724 89655 95632 119540 143448 179310 239080 286896 358620 478160 717240 1434480