Search a number
-
+
1434820360 = 235277712917
BaseRepresentation
bin101010110000101…
…1001111100001000
310200222212102111211
41111201121330020
510414303222420
6354213102504
750361525511
oct12541317410
93628772454
101434820360
11676a11856
12340627a34
1319b35083c
14d87b7a08
1585e71e5a
hex55859f08

1434820360 has 32 divisors (see below), whose sum is σ = 3229758360. Its totient is φ = 573677056.

The previous prime is 1434820333. The next prime is 1434820369. The reversal of 1434820360 is 630284341.

1434820360 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 936727236 + 498093124 = 30606^2 + 22318^2 .

It is not an unprimeable number, because it can be changed into a prime (1434820369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104622 + ... + 117538.

Almost surely, 21434820360 is an apocalyptic number.

1434820360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1434820360 is an abundant number, since it is smaller than the sum of its proper divisors (1794938000).

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

1434820360 is a wasteful number, since it uses less digits than its factorization.

1434820360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15705 (or 15701 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1434820360 is about 37879.0226906661. The cubic root of 1434820360 is about 1127.8876558469.

The spelling of 1434820360 in words is "one billion, four hundred thirty-four million, eight hundred twenty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 2777 5554 11108 12917 13885 22216 25834 27770 51668 55540 64585 103336 111080 129170 258340 516680 35870509 71741018 143482036 179352545 286964072 358705090 717410180 1434820360