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801340416 = 2103286951
BaseRepresentation
bin101111110000110…
…111110000000000
32001211212022101200
4233300313300000
53120120343131
6211303301200
725600165302
oct5760676000
92054768350
10801340416
11381376a08
121a444a800
13ca032036
14785d7972
154a53e2e6
hex2fc37c00

801340416 has 66 divisors (see below), whose sum is σ = 2313879672. Its totient is φ = 267110400.

The previous prime is 801340411. The next prime is 801340429. The reversal of 801340416 is 614043108.

It is a super-3 number, since 3×8013404163 (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 801340416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801340411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34260 + ... + 52691.

Almost surely, 2801340416 is an apocalyptic number.

It is an amenable number.

801340416 is an abundant number, since it is smaller than the sum of its proper divisors (1512539256).

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

801340416 is a wasteful number, since it uses less digits than its factorization.

801340416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86977 (or 86956 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 801340416 is about 28307.9567613065. The cubic root of 801340416 is about 928.8359490834.

The spelling of 801340416 in words is "eight hundred one million, three hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 86951 173902 260853 347804 521706 695608 782559 1043412 1391216 1565118 2086824 2782432 3130236 4173648 5564864 6260472 8347296 11129728 12520944 16694592 22259456 25041888 33389184 44518912 50083776 66778368 89037824 100167552 133556736 200335104 267113472 400670208 801340416