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10340352 = 211331117
BaseRepresentation
bin100111011100…
…100000000000
3201110100022000
4213130200000
510121342402
61005344000
7153614541
oct47344000
921410260
1010340352
115922950
123568000
1321b0769
1415324c8
15d93c1c
hex9dc800

10340352 has 192 divisors, whose sum is σ = 35380800. Its totient is φ = 2949120.

The previous prime is 10340347. The next prime is 10340381. The reversal of 10340352 is 25304301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 608248 + ... + 608264.

It is an arithmetic number, because the mean of its divisors is an integer number (184275).

Almost surely, 210340352 is an apocalyptic number.

10340352 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 10340352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

10340352 is an abundant number, since it is smaller than the sum of its proper divisors (25040448).

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

10340352 is a wasteful number, since it uses less digits than its factorization.

10340352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 10340352 is about 3215.6417710933. The cubic root of 10340352 is about 217.8604723976.

Adding to 10340352 its reverse (25304301), we get a palindrome (35644653).

The spelling of 10340352 in words is "ten million, three hundred forty thousand, three hundred fifty-two".