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1434420 = 2232513613
BaseRepresentation
bin101011110001100110100
32200212122200
411132030310
5331400140
650424500
715122661
oct5361464
92625580
101434420
1189a779
12592130
133b2b90
14294a68
151d5030
hex15e334

1434420 has 72 divisors (see below), whose sum is σ = 4693416. Its totient is φ = 352512.

The previous prime is 1434397. The next prime is 1434421. The reversal of 1434420 is 244341.

It can be written as a sum of positive squares in 4 ways, for example, as 79524 + 1354896 = 282^2 + 1164^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1434393 and 1434402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434421) 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 23 ways as a sum of consecutive naturals, for example, 2034 + ... + 2646.

21434420 is an apocalyptic number.

1434420 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 1434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346708).

1434420 is an abundant number, since it is smaller than the sum of its proper divisors (3258996).

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

1434420 is a wasteful number, since it uses less digits than its factorization.

1434420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1434420 is about 1197.6727432817. The cubic root of 1434420 is about 112.7782740714.

Adding to 1434420 its reverse (244341), we get a palindrome (1678761).

The spelling of 1434420 in words is "one million, four hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 613 780 1170 1226 1839 2340 2452 3065 3678 5517 6130 7356 7969 9195 11034 12260 15938 18390 22068 23907 27585 31876 36780 39845 47814 55170 71721 79690 95628 110340 119535 143442 159380 239070 286884 358605 478140 717210 1434420