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1940352 = 27331163
BaseRepresentation
bin111011001101110000000
310122120122220
413121232000
5444042402
6105331040
722331001
oct7315600
93576586
101940352
1111058a7
12796a80
1352c24b
143871a8
15284dbc
hex1d9b80

1940352 has 64 divisors (see below), whose sum is σ = 5352960. Its totient is φ = 622080.

The previous prime is 1940339. The next prime is 1940371. The reversal of 1940352 is 2530491.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 11823 + ... + 11985.

It is an arithmetic number, because the mean of its divisors is an integer number (83640).

21940352 is an apocalyptic number.

1940352 is a gapful number since it is divisible by the number (12) 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 1940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676480).

1940352 is an abundant number, since it is smaller than the sum of its proper divisors (3412608).

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

1940352 is a wasteful number, since it uses less digits than its factorization.

1940352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 1940352 is about 1392.9651826230. The cubic root of 1940352 is about 124.7269131564.

The spelling of 1940352 in words is "one million, nine hundred forty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 163 186 192 248 326 372 384 489 496 652 744 978 992 1304 1488 1956 1984 2608 2976 3912 3968 5053 5216 5952 7824 10106 10432 11904 15159 15648 20212 20864 30318 31296 40424 60636 62592 80848 121272 161696 242544 323392 485088 646784 970176 1940352