Search a number
-
+
3236800338 = 23510364661
BaseRepresentation
bin1100000011101101…
…1010011101010010
322100120121111100000
43000323122131102
523112110102323
61253103510430
7143132230452
oct30073323522
98316544300
103236800338
1114110a9002
12763bb8416
133c7784b95
14229c47d62
1513e26be43
hexc0eda752

3236800338 has 48 divisors (see below), whose sum is σ = 7343534016. Its totient is φ = 1068441840.

The previous prime is 3236800337. The next prime is 3236800381. The reversal of 3236800338 is 8330086323.

3236800338 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3236800337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17728 + ... + 82388.

It is an arithmetic number, because the mean of its divisors is an integer number (152990292).

Almost surely, 23236800338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3236800338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3671767008).

3236800338 is an abundant number, since it is smaller than the sum of its proper divisors (4106733678).

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

3236800338 is a wasteful number, since it uses less digits than its factorization.

3236800338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64781 (or 64769 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3236800338 is about 56892.8847748117. The cubic root of 3236800338 is about 1479.2399826177.

The spelling of 3236800338 in words is "three billion, two hundred thirty-six million, eight hundred thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 103 162 206 243 309 486 618 927 1854 2781 5562 8343 16686 25029 50058 64661 129322 193983 387966 581949 1163898 1745847 3491694 5237541 6660083 10475082 13320166 15712623 19980249 31425246 39960498 59940747 119881494 179822241 359644482 539466723 1078933446 1618400169 3236800338