Search a number
-
+
3241969248 = 25374824359
BaseRepresentation
bin1100000100111100…
…1000011001100000
322100221100002202010
43001033020121200
523114421003443
61253410352520
7143224166250
oct30117103140
98327302663
103241969248
111414009531
1276588b740
133c88747cb
1422a7d1960
1513e93d733
hexc13c8660

3241969248 has 48 divisors (see below), whose sum is σ = 9725909760. Its totient is φ = 926276736.

The previous prime is 3241969231. The next prime is 3241969271. The reversal of 3241969248 is 8429691423.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3241969197 and 3241969206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2411508 + ... + 2412851.

It is an arithmetic number, because the mean of its divisors is an integer number (202623120).

Almost surely, 23241969248 is an apocalyptic number.

It is an amenable number.

3241969248 is an abundant number, since it is smaller than the sum of its proper divisors (6483940512).

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

3241969248 is a wasteful number, since it uses less digits than its factorization.

3241969248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4824379 (or 4824371 counting only the distinct ones).

The product of its digits is 746496, while the sum is 48.

The square root of 3241969248 is about 56938.2933358561. The cubic root of 3241969248 is about 1480.0269729684.

The spelling of 3241969248 in words is "three billion, two hundred forty-one million, nine hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 4824359 9648718 14473077 19297436 28946154 33770513 38594872 57892308 67541026 77189744 101311539 115784616 135082052 154379488 202623078 231569232 270164104 405246156 463138464 540328208 810492312 1080656416 1620984624 3241969248