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400343104 = 2673172819
BaseRepresentation
bin10111110111001…
…100000001000000
31000220022112111101
4113313030001000
51304441434404
6103420424144
712630601030
oct2767140100
91026275441
10400343104
11195a8a777
12b20a8054
1364c31815
143b2538c0
15252302a4
hex17dcc040

400343104 has 56 divisors (see below), whose sum is σ = 911108160. Its totient is φ = 170973696.

The previous prime is 400343101. The next prime is 400343117. The reversal of 400343104 is 401343004.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (400343101) 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, 140607 + ... + 143425.

Almost surely, 2400343104 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 400343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455554080).

400343104 is an abundant number, since it is smaller than the sum of its proper divisors (510765056).

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

400343104 is a wasteful number, since it uses less digits than its factorization.

400343104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 400343104 is about 20008.5757614079. The cubic root of 400343104 is about 737.0169071799.

Adding to 400343104 its reverse (401343004), we get a palindrome (801686108).

The spelling of 400343104 in words is "four hundred million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 317 448 634 1268 2219 2536 2819 4438 5072 5638 8876 10144 11276 17752 19733 20288 22552 35504 39466 45104 71008 78932 90208 142016 157864 180416 315728 631456 893623 1262912 1787246 3574492 6255361 7148984 12510722 14297968 25021444 28595936 50042888 57191872 100085776 200171552 400343104