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1342552320 = 2834523563
BaseRepresentation
bin101000000000101…
…1011100100000000
310110120020201120000
41100001123210000
510222143133240
6341115320000
745161335464
oct12001334400
93416221500
101342552320
1162992147a
12315750000
131851b6475
14ca43a4a4
157cce8430
hex5005b900

1342552320 has 360 divisors, whose sum is σ = 5021666496. Its totient is φ = 341839872.

The previous prime is 1342552313. The next prime is 1342552327. The reversal of 1342552320 is 232552431.

It is a happy number.

1342552320 is a `hidden beast` number, since 1 + 3 + 425 + 5 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1342552313) and next prime (1342552327).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1342552327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2384359 + ... + 2384921.

Almost surely, 21342552320 is an apocalyptic number.

1342552320 is a gapful number since it is divisible by the number (10) 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 1342552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510833248).

1342552320 is an abundant number, since it is smaller than the sum of its proper divisors (3679114176).

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

1342552320 is an equidigital number, since it uses as much as digits as its factorization.

1342552320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 1342552320 is about 36640.8558852001. The cubic root of 1342552320 is about 1103.1732941377.

The spelling of 1342552320 in words is "one billion, three hundred forty-two million, five hundred fifty-two thousand, three hundred twenty".