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414440032 = 2512951251
BaseRepresentation
bin11000101100111…
…101101001100000
31001212211201211211
4120230331221200
51322044040112
6105042515504
713161452656
oct3054755140
91055751754
10414440032
111a2a38a26
12b6965b94
1367b290b6
143d082dd6
15265b70a7
hex18b3da60

414440032 has 12 divisors (see below), whose sum is σ = 815928876. Its totient is φ = 207220000.

The previous prime is 414440017. The next prime is 414440041. The reversal of 414440032 is 230044414.

It is a super-3 number, since 3×4144400323 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 414439985 and 414440012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6475594 + ... + 6475657.

It is an arithmetic number, because the mean of its divisors is an integer number (67994073).

Almost surely, 2414440032 is an apocalyptic number.

It is an amenable number.

414440032 is a deficient number, since it is larger than the sum of its proper divisors (401488844).

414440032 is a wasteful number, since it uses less digits than its factorization.

414440032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12951261 (or 12951253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 414440032 is about 20357.8002740964. The cubic root of 414440032 is about 745.5679539175.

Adding to 414440032 its reverse (230044414), we get a palindrome (644484446).

The spelling of 414440032 in words is "four hundred fourteen million, four hundred forty thousand, thirty-two".

Divisors: 1 2 4 8 16 32 12951251 25902502 51805004 103610008 207220016 414440032