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31434516 = 22326611321
BaseRepresentation
bin111011111101…
…0011100010100
32012011001001100
41313322130110
531021401031
63041430100
7531121551
oct167723424
965131040
1031434516
1116820243
12a63b330
136687c09
144263a28
152b5dde6
hex1dfa714

31434516 has 36 divisors (see below), whose sum is σ = 79639924. Its totient is φ = 10454400.

The previous prime is 31434511. The next prime is 31434517. The reversal of 31434516 is 61543413.

31434516 is a `hidden beast` number, since 3 + 143 + 4 + 516 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27248400 + 4186116 = 5220^2 + 2046^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 31434516.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31434511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23136 + ... + 24456.

Almost surely, 231434516 is an apocalyptic number.

31434516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31434516 is an abundant number, since it is smaller than the sum of its proper divisors (48205408).

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

31434516 is a wasteful number, since it uses less digits than its factorization.

31434516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1987 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 31434516 is about 5606.6492667189. The cubic root of 31434516 is about 315.5989812359.

Adding to 31434516 its reverse (61543413), we get a palindrome (92977929).

The spelling of 31434516 in words is "thirty-one million, four hundred thirty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 661 1321 1322 1983 2642 2644 3963 3966 5284 5949 7926 7932 11889 11898 15852 23778 23796 47556 873181 1746362 2619543 3492724 5239086 7858629 10478172 15717258 31434516