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3416197248 = 2733988483
BaseRepresentation
bin1100101110011111…
…0000100010000000
322211002011210122000
43023213300202000
523444021302443
61322552544000
7150441124512
oct31347604200
98732153560
103416197248
1114a3399612
127b40b2000
134259a73b9
142459c5bb2
1514eda68d3
hexcb9f0880

3416197248 has 64 divisors (see below), whose sum is σ = 10082536800. Its totient is φ = 1138731264.

The previous prime is 3416197223. The next prime is 3416197259. The reversal of 3416197248 is 8427916143.

3416197248 is a `hidden beast` number, since 3 + 4 + 1 + 619 + 7 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 490786 + ... + 497697.

Almost surely, 23416197248 is an apocalyptic number.

It is an amenable number.

3416197248 is an abundant number, since it is smaller than the sum of its proper divisors (6666339552).

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

3416197248 is an equidigital number, since it uses as much as digits as its factorization.

3416197248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 988506 (or 988488 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3416197248 is about 58448.2441823533. The cubic root of 3416197248 is about 1506.0786295671.

The spelling of 3416197248 in words is "three billion, four hundred sixteen million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 988483 1976966 2965449 3953932 5930898 7907864 8896347 11861796 15815728 17792694 23723592 26689041 31631456 35585388 47447184 53378082 63262912 71170776 94894368 106756164 126525824 142341552 189788736 213512328 284683104 379577472 427024656 569366208 854049312 1138732416 1708098624 3416197248