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431380 = 22521569
BaseRepresentation
bin1101001010100010100
3210220202001
41221110110
5102301010
613125044
73444445
oct1512424
9726661
10431380
11275114
12189784
13121471
14b32cc
1587c3a
hex69514

431380 has 12 divisors (see below), whose sum is σ = 905940. Its totient is φ = 172544.

The previous prime is 431377. The next prime is 431381. The reversal of 431380 is 83134.

It can be written as a sum of positive squares in 2 ways, for example, as 66564 + 364816 = 258^2 + 604^2 .

It is a plaindrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431381) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10765 + ... + 10804.

It is an arithmetic number, because the mean of its divisors is an integer number (75495).

2431380 is an apocalyptic number.

It is an amenable number.

431380 is an abundant number, since it is smaller than the sum of its proper divisors (474560).

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

431380 is a wasteful number, since it uses less digits than its factorization.

431380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21578 (or 21576 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 431380 is about 656.7952496783. The cubic root of 431380 is about 75.5590812785.

It can be divided in two parts, 43 and 1380, that multiplied together give a triangular number (59340 = T344).

The spelling of 431380 in words is "four hundred thirty-one thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 21569 43138 86276 107845 215690 431380