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3241968 = 2431729137
BaseRepresentation
bin1100010111011111110000
320002201010220
430113133300
51312220333
6153253040
736361542
oct14273760
96081126
103241968
111914814
121104180
13896832
14605692
154408b3
hex3177f0

3241968 has 80 divisors (see below), whose sum is σ = 9240480. Its totient is φ = 974848.

The previous prime is 3241963. The next prime is 3241969. The reversal of 3241968 is 8691423.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3241961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23596 + ... + 23732.

It is an arithmetic number, because the mean of its divisors is an integer number (115506).

Almost surely, 23241968 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 3241968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4620240).

3241968 is an abundant number, since it is smaller than the sum of its proper divisors (5998512).

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

3241968 is a wasteful number, since it uses less digits than its factorization.

3241968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 188 counting only the distinct ones).

The product of its digits is 10368, while the sum is 33.

The square root of 3241968 is about 1800.5465836795. The cubic root of 3241968 is about 148.0026783056.

It can be divided in two parts, 3 and 241968, that multiplied together give a square (725904 = 8522).

The spelling of 3241968 in words is "three million, two hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 137 174 204 232 272 274 348 408 411 464 493 548 696 816 822 986 1096 1392 1479 1644 1972 2192 2329 2958 3288 3944 3973 4658 5916 6576 6987 7888 7946 9316 11832 11919 13974 15892 18632 23664 23838 27948 31784 37264 47676 55896 63568 67541 95352 111792 135082 190704 202623 270164 405246 540328 810492 1080656 1620984 3241968