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1341239040 = 283351972
BaseRepresentation
bin100111111110001…
…1010111100000000
310110110210000002000
41033330122330000
510221324122130
6341031224000
745144225621
oct11774327400
93413700060
101341239040
11629104819
12315218000
13184b4678b
14ca1b7a48
157cb39260
hex4ff1af00

1341239040 has 216 divisors, whose sum is σ = 4783818480. Its totient is φ = 355848192.

The previous prime is 1341239033. The next prime is 1341239057. The reversal of 1341239040 is 409321431.

It is a tau number, because it is divible by the number of its divisors (216).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1341238995 and 1341239013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6808222 + ... + 6808418.

Almost surely, 21341239040 is an apocalyptic number.

1341239040 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 1341239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391909240).

1341239040 is an abundant number, since it is smaller than the sum of its proper divisors (3442579440).

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

1341239040 is an frugal number, since it uses more digits than its factorization.

1341239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1341239040 is about 36622.9305217373. The cubic root of 1341239040 is about 1102.8134700289.

The spelling of 1341239040 in words is "one billion, three hundred forty-one million, two hundred thirty-nine thousand, forty".