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3242920416 = 253312714021
BaseRepresentation
bin1100000101001011…
…0000100111100000
322101000010102111120
43001102300213200
523120141423131
61253443012240
7143235240321
oct30122604740
98330112446
103242920416
1114145a911a
1276606a080
133c8b18728
1422a99c448
1513ea7a496
hexc14b09e0

3242920416 has 96 divisors (see below), whose sum is σ = 8821886976. Its totient is φ = 1041984000.

The previous prime is 3242920409. The next prime is 3242920433. The reversal of 3242920416 is 6140292423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32429204162 = 21033065649019226112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804486 + ... + 808506.

It is an arithmetic number, because the mean of its divisors is an integer number (91894656).

Almost surely, 23242920416 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 3242920416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410943488).

3242920416 is an abundant number, since it is smaller than the sum of its proper divisors (5578966560).

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

3242920416 is a wasteful number, since it uses less digits than its factorization.

3242920416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4336 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 3242920416 is about 56946.6453445679. The cubic root of 3242920416 is about 1480.1717015305.

The spelling of 3242920416 in words is "three billion, two hundred forty-two million, nine hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 271 372 496 542 744 813 992 1084 1488 1626 2168 2976 3252 4021 4336 6504 8042 8401 8672 12063 13008 16084 16802 24126 25203 26016 32168 33604 48252 50406 64336 67208 96504 100812 124651 128672 134416 193008 201624 249302 268832 373953 386016 403248 498604 747906 806496 997208 1089691 1495812 1994416 2179382 2991624 3269073 3988832 4358764 5983248 6538146 8717528 11966496 13076292 17435056 26152584 33780421 34870112 52305168 67560842 101341263 104610336 135121684 202682526 270243368 405365052 540486736 810730104 1080973472 1621460208 3242920416