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400014032 = 24119723431
BaseRepresentation
bin10111110101111…
…011101011010000
31000212200211002112
4113311323223100
51304400422112
6103405404452
712625030445
oct2765735320
91025624075
10400014032
11195885510
12b1b69728
1364b47ac2
143b1a99cc
15251b7a22
hex17d7bad0

400014032 has 40 divisors (see below), whose sum is σ = 854236992. Its totient is φ = 179942400.

The previous prime is 400014031. The next prime is 400014037. The reversal of 400014032 is 230410004.

It is a super-2 number, since 2×4000140322 = 320022451593794048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 400013998 and 400014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400014031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357 + ... + 28787.

Almost surely, 2400014032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400014032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427118496).

400014032 is an abundant number, since it is smaller than the sum of its proper divisors (454222960).

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

400014032 is a wasteful number, since it uses less digits than its factorization.

400014032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23547 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 400014032 is about 20000.3507969235. The cubic root of 400014032 is about 736.8149153490.

Adding to 400014032 its reverse (230410004), we get a palindrome (630424036).

The spelling of 400014032 in words is "four hundred million, fourteen thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 388 776 1067 1552 2134 4268 8536 17072 23431 46862 93724 187448 257741 374896 515482 1030964 2061928 2272807 4123856 4545614 9091228 18182456 25000877 36364912 50001754 100003508 200007016 400014032