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214343104 = 2619359491
BaseRepresentation
bin11001100011010…
…01110111000000
3112221022202110111
430301221313000
5414332434404
633134041104
75211613003
oct1461516700
9487282414
10214343104
11aaa9a168
125b949194
1335539951
142067753a
1513c3e104
hexcc69dc0

214343104 has 56 divisors (see below), whose sum is σ = 449884800. Its totient is φ = 101041920.

The previous prime is 214343093. The next prime is 214343113. The reversal of 214343104 is 401343412.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 436299 + ... + 436789.

Almost surely, 2214343104 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 214343104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224942400).

214343104 is an abundant number, since it is smaller than the sum of its proper divisors (235541696).

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

214343104 is a wasteful number, since it uses less digits than its factorization.

214343104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 871 counting only the distinct ones).

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

The square root of 214343104 is about 14640.4611949214. The cubic root of 214343104 is about 598.4618974740.

Adding to 214343104 its reverse (401343412), we get a palindrome (615686516).

The spelling of 214343104 in words is "two hundred fourteen million, three hundred forty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 359 491 608 718 982 1216 1436 1964 2872 3928 5744 6821 7856 9329 11488 13642 15712 18658 22976 27284 31424 37316 54568 74632 109136 149264 176269 218272 298528 352538 436544 597056 705076 1410152 2820304 3349111 5640608 6698222 11281216 13396444 26792888 53585776 107171552 214343104