Search a number
-
+
3250736704 = 264371127131
BaseRepresentation
bin1100000111000010…
…0100111001000000
322101112211112102201
43001300210321000
523124142033304
61254322322544
7143361543325
oct30160447100
98345745381
103250736704
111418a57666
127687b9454
133ca624357
1422ba34b4c
151405c13a4
hexc1c24e40

3250736704 has 112 divisors (see below), whose sum is σ = 6797869056. Its totient is φ = 1541030400.

The previous prime is 3250736677. The next prime is 3250736707. The reversal of 3250736704 is 4076370523.

It is not an unprimeable number, because it can be changed into a prime (3250736707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24814719 + ... + 24814849.

Almost surely, 23250736704 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 3250736704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398934528).

3250736704 is an abundant number, since it is smaller than the sum of its proper divisors (3547132352).

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

3250736704 is a wasteful number, since it uses less digits than its factorization.

3250736704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 37.

The square root of 3250736704 is about 57015.2322103488. The cubic root of 3250736704 is about 1481.3599479379.

The spelling of 3250736704 in words is "three billion, two hundred fifty million, seven hundred thirty-six thousand, seven hundred four".

Divisors: 1 2 4 8 16 32 43 64 71 86 127 131 142 172 254 262 284 344 508 524 568 688 1016 1048 1136 1376 2032 2096 2272 2752 3053 4064 4192 4544 5461 5633 6106 8128 8384 9017 9301 10922 11266 12212 16637 18034 18602 21844 22532 24424 33274 36068 37204 43688 45064 48848 66548 72136 74408 87376 90128 97696 133096 144272 148816 174752 180256 195392 266192 288544 297632 349504 360512 387731 399943 532384 577088 595264 715391 775462 799886 1064768 1181227 1430782 1550924 1599772 2362454 2861564 3101848 3199544 4724908 5723128 6203696 6399088 9449816 11446256 12407392 12798176 18899632 22892512 24814784 25596352 37799264 45785024 50792761 75598528 101585522 203171044 406342088 812684176 1625368352 3250736704