Search a number
-
+
3241053640 = 2351110172931
BaseRepresentation
bin1100000100101110…
…1000110111001000
322100212121120202201
43001023220313020
523114202204030
61253335005544
7143213333656
oct30113506710
98325546681
103241053640
111413543630
127655098b4
133c8613b26
1422a633dd6
1513e80c2ca
hexc12e8dc8

3241053640 has 64 divisors (see below), whose sum is σ = 8034189120. Its totient is φ = 1166880000.

The previous prime is 3241053631. The next prime is 3241053643. The reversal of 3241053640 is 463501423.

It is a junction number, because it is equal to n+sod(n) for n = 3241053599 and 3241053608.

It is not an unprimeable number, because it can be changed into a prime (3241053643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7975 + ... + 80905.

It is an arithmetic number, because the mean of its divisors is an integer number (125534205).

Almost surely, 23241053640 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 3241053640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017094560).

3241053640 is an abundant number, since it is smaller than the sum of its proper divisors (4793135480).

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

3241053640 is a wasteful number, since it uses less digits than its factorization.

3241053640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73054 (or 73050 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3241053640 is about 56930.2524146872. The cubic root of 3241053640 is about 1479.8876284295.

The spelling of 3241053640 in words is "three billion, two hundred forty-one million, fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 202 220 404 440 505 808 1010 1111 2020 2222 4040 4444 5555 8888 11110 22220 44440 72931 145862 291724 364655 583448 729310 802241 1458620 1604482 2917240 3208964 4011205 6417928 7366031 8022410 14732062 16044820 29464124 32089640 36830155 58928248 73660310 81026341 147320620 162052682 294641240 324105364 405131705 648210728 810263410 1620526820 3241053640