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1454793340 = 2257311131483
BaseRepresentation
bin101011010110110…
…0110001001111100
310202101110011021211
41112231212021330
510434411341330
6400205134204
751023353000
oct12655461174
93671404254
101454793340
11687213850
1234725a364
131a2524880
14db2d6700
1587ab9d2a
hex56b6627c

1454793340 has 192 divisors, whose sum is σ = 4188441600. Its totient is φ = 418279680.

The previous prime is 1454793317. The next prime is 1454793341. The reversal of 1454793340 is 433974541.

It is a junction number, because it is equal to n+sod(n) for n = 1454793293 and 1454793302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454793341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 980239 + ... + 981721.

It is an arithmetic number, because the mean of its divisors is an integer number (21814800).

Almost surely, 21454793340 is an apocalyptic number.

1454793340 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 1454793340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094220800).

1454793340 is an abundant number, since it is smaller than the sum of its proper divisors (2733648260).

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

1454793340 is a wasteful number, since it uses less digits than its factorization.

1454793340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1521 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 40.

The square root of 1454793340 is about 38141.7532371023. The cubic root of 1454793340 is about 1133.0970305107.

The spelling of 1454793340 in words is "one billion, four hundred fifty-four million, seven hundred ninety-three thousand, three hundred forty".