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350031400 = 23523175521
BaseRepresentation
bin10100110111010…
…000111000101000
3220101122102210221
4110313100320220
51204102001100
654422215424
711450134465
oct2467207050
9811572727
10350031400
1116a646854
1299284574
1357697594
14346b866c
1520ae301a
hex14dd0e28

350031400 has 48 divisors (see below), whose sum is σ = 816538140. Its totient is φ = 139545600.

The previous prime is 350031379. The next prime is 350031401. The reversal of 350031400 is 4130053.

It can be written as a sum of positive squares in 6 ways, for example, as 22638564 + 327392836 = 4758^2 + 18094^2 .

It is not an unprimeable number, because it can be changed into a prime (350031401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60640 + ... + 66160.

Almost surely, 2350031400 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 350031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408269070).

350031400 is an abundant number, since it is smaller than the sum of its proper divisors (466506740).

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

350031400 is a wasteful number, since it uses less digits than its factorization.

350031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5854 (or 5845 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 350031400 is about 18709.1261153481. The cubic root of 350031400 is about 704.7509473553.

Adding to 350031400 its reverse (4130053), we get a palindrome (354161453).

The spelling of 350031400 in words is "three hundred fifty million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 317 634 1268 1585 2536 3170 5521 6340 7925 11042 12680 15850 22084 27605 31700 44168 55210 63400 110420 138025 220840 276050 552100 1104200 1750157 3500314 7000628 8750785 14001256 17501570 35003140 43753925 70006280 87507850 175015700 350031400