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201384832 = 2711281509
BaseRepresentation
bin11000000000011…
…10001110000000
3112000221102001111
430000032032000
5403023303312
631552213104
74663512535
oct1400161600
9460842044
10201384832
11a3749450
125753a194
133295072c
141ca62d8c
1512a2e8a7
hexc00e380

201384832 has 64 divisors (see below), whose sum is σ = 440089200. Its totient is φ = 91033600.

The previous prime is 201384829. The next prime is 201384853. The reversal of 201384832 is 238483102.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 201384794 and 201384803.

It is a congruent number.

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, 395394 + ... + 395902.

Almost surely, 2201384832 is an apocalyptic number.

201384832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220044600).

201384832 is an abundant number, since it is smaller than the sum of its proper divisors (238704368).

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

201384832 is a wasteful number, since it uses less digits than its factorization.

201384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 201384832 is about 14191.0123669878. The cubic root of 201384832 is about 586.1502020359.

The spelling of 201384832 in words is "two hundred one million, three hundred eighty-four thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 281 352 509 562 704 1018 1124 1408 2036 2248 3091 4072 4496 5599 6182 8144 8992 11198 12364 16288 17984 22396 24728 32576 35968 44792 49456 65152 89584 98912 143029 179168 197824 286058 358336 395648 572116 716672 1144232 1573319 2288464 3146638 4576928 6293276 9153856 12586552 18307712 25173104 50346208 100692416 201384832