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40314420 = 22325223969
BaseRepresentation
bin1001100111001…
…0011000110100
32210212011222200
42121302120310
540310030140
64000024500
7666444516
oct231623064
983764880
1040314420
1120835903
1211602130
1384769b3
1454d5bb6
153815030
hex2672634

40314420 has 36 divisors (see below), whose sum is σ = 122287620. Its totient is φ = 10750464.

The previous prime is 40314401. The next prime is 40314451. The reversal of 40314420 is 2441304.

It can be written as a sum of positive squares in 2 ways, for example, as 25522704 + 14791716 = 5052^2 + 3846^2 .

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

It is a super-3 number, since 3×403144203 (a number of 24 digits) contains 333 as substring.

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 = 40314393 and 40314402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111805 + ... + 112164.

Almost surely, 240314420 is an apocalyptic number.

It is an amenable number.

40314420 is an abundant number, since it is smaller than the sum of its proper divisors (81973200).

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

40314420 is a wasteful number, since it uses less digits than its factorization.

40314420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223984 (or 223979 counting only the distinct ones).

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

The square root of 40314420 is about 6349.3637476522. The cubic root of 40314420 is about 342.8889360398. Note that the first 3 decimals are identical.

Adding to 40314420 its reverse (2441304), we get a palindrome (42755724).

The spelling of 40314420 in words is "forty million, three hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 223969 447938 671907 895876 1119845 1343814 2015721 2239690 2687628 3359535 4031442 4479380 6719070 8062884 10078605 13438140 20157210 40314420