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631404400 = 245211143501
BaseRepresentation
bin100101101000100…
…111011101110000
31122000002200000011
4211220213131300
52243114420100
6142353104304
721434564104
oct4550473560
91560080004
10631404400
112a4458520
12157558094
13a0a72b93
145dbdd904
153a672bba
hex25a27770

631404400 has 60 divisors (see below), whose sum is σ = 1654865064. Its totient is φ = 229600000.

The previous prime is 631404391. The next prime is 631404407. The reversal of 631404400 is 4404136.

It is a happy number.

631404400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631404407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67351 + ... + 76150.

Almost surely, 2631404400 is an apocalyptic number.

It is an amenable number.

631404400 is an abundant number, since it is smaller than the sum of its proper divisors (1023460664).

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

631404400 is a wasteful number, since it uses less digits than its factorization.

631404400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143530 (or 143519 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 631404400 is about 25127.7615397791. The cubic root of 631404400 is about 857.8984200265.

Adding to 631404400 its reverse (4404136), we get a palindrome (635808536).

The spelling of 631404400 in words is "six hundred thirty-one million, four hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 143501 287002 574004 717505 1148008 1435010 1578511 2296016 2870020 3157022 3587525 5740040 6314044 7175050 7892555 11480080 12628088 14350100 15785110 25256176 28700200 31570220 39462775 57400400 63140440 78925550 126280880 157851100 315702200 631404400