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208030440 = 23352716397
BaseRepresentation
bin11000110011001…
…00101011101000
3112111110001010010
430121210223220
5411223433230
632350451520
75104141512
oct1431445350
9474401103
10208030440
11a7478392
1259803ba0
1334139547
141d8b2bb2
15133e39b0
hexc664ae8

208030440 has 64 divisors (see below), whose sum is σ = 626492160. Its totient is φ = 55261440.

The previous prime is 208030409. The next prime is 208030441. The reversal of 208030440 is 44030802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (208030441) 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 15 ways as a sum of consecutive naturals, for example, 29322 + ... + 35718.

It is an arithmetic number, because the mean of its divisors is an integer number (9788940).

Almost surely, 2208030440 is an apocalyptic number.

208030440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208030440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313246080).

208030440 is an abundant number, since it is smaller than the sum of its proper divisors (418461720).

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

208030440 is a wasteful number, since it uses less digits than its factorization.

208030440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6682 (or 6678 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 208030440 is about 14423.2603803717. The cubic root of 208030440 is about 592.5281155987.

The spelling of 208030440 in words is "two hundred eight million, thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 271 542 813 1084 1355 1626 2168 2710 3252 4065 5420 6397 6504 8130 10840 12794 16260 19191 25588 31985 32520 38382 51176 63970 76764 95955 127940 153528 191910 255880 383820 767640 1733587 3467174 5200761 6934348 8667935 10401522 13868696 17335870 20803044 26003805 34671740 41606088 52007610 69343480 104015220 208030440