Search a number
-
+
3424946960 = 245311381027
BaseRepresentation
bin1100110000100100…
…1000101100010000
322211200122022222102
43030021020230100
524003241300320
61323504255532
7150605366051
oct31411105420
98750568872
103424946960
1114a8325386
127b70115a8
1342774bb46
14246c22728
15150a34175
hexcc248b10

3424946960 has 40 divisors (see below), whose sum is σ = 8219878656. Its totient is φ = 1325784960.

The previous prime is 3424946911. The next prime is 3424946969. The reversal of 3424946960 is 696494243.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (3424946969) 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 7 ways as a sum of consecutive naturals, for example, 688034 + ... + 692993.

Almost surely, 23424946960 is an apocalyptic number.

It is an amenable number.

3424946960 is an abundant number, since it is smaller than the sum of its proper divisors (4794931696).

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

3424946960 is a wasteful number, since it uses less digits than its factorization.

3424946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1381071 (or 1381065 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 47.

The square root of 3424946960 is about 58523.0464005421. The cubic root of 3424946960 is about 1507.3633445885.

The spelling of 3424946960 in words is "three billion, four hundred twenty-four million, nine hundred forty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 1240 2480 1381027 2762054 5524108 6905135 11048216 13810270 22096432 27620540 42811837 55241080 85623674 110482160 171247348 214059185 342494696 428118370 684989392 856236740 1712473480 3424946960