Search a number
-
+
534144016 = 24720032381
BaseRepresentation
bin11111110101100…
…110010000010000
31101020002022211201
4133311212100100
52043220102031
6125000320544
716144102120
oct3765462020
91336068751
10534144016
1125456833a
1212aa73154
138687b363
1450d22c80
1531d5ed61
hex1fd66410

534144016 has 40 divisors (see below), whose sum is σ = 1183834944. Its totient is φ = 228708480.

The previous prime is 534144001. The next prime is 534144041. The reversal of 534144016 is 610441435.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223146 + ... + 225526.

Almost surely, 2534144016 is an apocalyptic number.

534144016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

534144016 is an abundant number, since it is smaller than the sum of its proper divisors (649690928).

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

534144016 is a wasteful number, since it uses less digits than its factorization.

534144016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4393 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 534144016 is about 23111.5558974293. Note that the first 3 decimals coincide. The cubic root of 534144016 is about 811.3709527058.

The spelling of 534144016 in words is "five hundred thirty-four million, one hundred forty-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 112 2003 2381 4006 4762 8012 9524 14021 16024 16667 19048 28042 32048 33334 38096 56084 66668 112168 133336 224336 266672 4769143 9538286 19076572 33384001 38153144 66768002 76306288 133536004 267072008 534144016