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1934090496 = 283213312083
BaseRepresentation
bin111001101000111…
…1110000100000000
311222210022222101100
41303101332010000
512430111343441
6515530134400
765633332542
oct16321760400
94883288340
101934090496
1190281a8a8
1245b881400
1324a90b660
14144c1d692
15b4be3cb6
hex7347e100

1934090496 has 216 divisors, whose sum is σ = 6202117376. Its totient is φ = 575631360.

The previous prime is 1934090491. The next prime is 1934090537. The reversal of 1934090496 is 6940904391.

It is not an unprimeable number, because it can be changed into a prime (1934090491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 927471 + ... + 929553.

Almost surely, 21934090496 is an apocalyptic number.

1934090496 is a gapful number since it is divisible by the number (16) 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 1934090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3101058688).

1934090496 is an abundant number, since it is smaller than the sum of its proper divisors (4268026880).

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

1934090496 is a wasteful number, since it uses less digits than its factorization.

1934090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2149 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1934090496 is about 43978.2957377841. The cubic root of 1934090496 is about 1245.9260425345.

The spelling of 1934090496 in words is "one billion, nine hundred thirty-four million, ninety thousand, four hundred ninety-six".