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31444020 = 22325732393
BaseRepresentation
bin111011111110…
…0110000110100
32012011112002100
41313330300310
531022202040
63041542100
7531161346
oct167746064
965145070
1031444020
11168273a3
12a644930
13668c33a
144267296
152b61b30
hex1dfcc34

31444020 has 72 divisors (see below), whose sum is σ = 96727176. Its totient is φ = 8266752.

The previous prime is 31444019. The next prime is 31444079. The reversal of 31444020 is 2044413.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 31404816 = 198^2 + 5604^2 .

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 = 31443984 and 31444002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11944 + ... + 14336.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 231444020 is an apocalyptic number.

31444020 is a gapful number since it is divisible by the number (30) 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 31444020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48363588).

31444020 is an abundant number, since it is smaller than the sum of its proper divisors (65283156).

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

31444020 is a wasteful number, since it uses less digits than its factorization.

31444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481 (or 2476 counting only the distinct ones).

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

The square root of 31444020 is about 5607.4967677209. The cubic root of 31444020 is about 315.6307843922.

Adding to 31444020 its reverse (2044413), we get a palindrome (33488433).

The spelling of 31444020 in words is "thirty-one million, four hundred forty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2393 2628 3285 4380 4786 6570 7179 9572 11965 13140 14358 21537 23930 28716 35895 43074 47860 71790 86148 107685 143580 174689 215370 349378 430740 524067 698756 873445 1048134 1572201 1746890 2096268 2620335 3144402 3493780 5240670 6288804 7861005 10481340 15722010 31444020