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1340192 = 25731193
BaseRepresentation
bin101000111001100100000
32112002101202
411013030200
5320341232
644420332
714251160
oct5071440
92462352
101340192
118359a7
125476a8
1337c019
1426c5a0
151b7162
hex147320

1340192 has 48 divisors (see below), whose sum is σ = 3128832. Its totient is φ = 552960.

The previous prime is 1340179. The next prime is 1340221. The reversal of 1340192 is 2910431.

It is a super-2 number, since 2×13401922 = 3592229193728, which contains 22 as substring.

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, 6848 + ... + 7040.

It is an arithmetic number, because the mean of its divisors is an integer number (65184).

21340192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1340192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564416).

1340192 is an abundant number, since it is smaller than the sum of its proper divisors (1788640).

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

1340192 is a wasteful number, since it uses less digits than its factorization.

1340192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1340192 is about 1157.6666186774. Note that the first 4 decimals coincide. The cubic root of 1340192 is about 110.2526424399.

The spelling of 1340192 in words is "one million, three hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 193 217 224 248 386 434 496 772 868 992 1351 1544 1736 2702 3088 3472 5404 5983 6176 6944 10808 11966 21616 23932 41881 43232 47864 83762 95728 167524 191456 335048 670096 1340192