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201338928 = 24327199741
BaseRepresentation
bin11000000000000…
…11000000110000
3112000212002002100
430000003000300
5403020321203
631551220400
74663231650
oct1400030060
9460762070
10201338928
11a3717a0a
1257517700
133293587b
141ca50360
1512a20ea3
hexc003030

201338928 has 60 divisors (see below), whose sum is σ = 643968208. Its totient is φ = 57525120.

The previous prime is 201338903. The next prime is 201338933. The reversal of 201338928 is 829833102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 201338892 and 201338901.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98863 + ... + 100878.

Almost surely, 2201338928 is an apocalyptic number.

201338928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

201338928 is an abundant number, since it is smaller than the sum of its proper divisors (442629280).

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

201338928 is a wasteful number, since it uses less digits than its factorization.

201338928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199762 (or 199753 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 201338928 is about 14189.3949131032. The cubic root of 201338928 is about 586.1056626281.

The spelling of 201338928 in words is "two hundred one million, three hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 199741 399482 599223 798964 1198446 1398187 1597928 1797669 2396892 2796374 3195856 3595338 4194561 4793784 5592748 7190676 8389122 9587568 11185496 12583683 14381352 16778244 22370992 25167366 28762704 33556488 50334732 67112976 100669464 201338928