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1455204340 = 2252922311251
BaseRepresentation
bin101011010111100…
…1010011111110100
310202102020001002001
41112233022133310
510440013014330
6400222025044
751030014152
oct12657123764
93672201061
101455204340
11687474617
12347418184
131a2639975
14db3a23d2
1587b4b9ca
hex56bca7f4

1455204340 has 48 divisors (see below), whose sum is σ = 3175764480. Its totient is φ = 559440000.

The previous prime is 1455204313. The next prime is 1455204341. The reversal of 1455204340 is 434025541.

It is a junction number, because it is equal to n+sod(n) for n = 1455204299 and 1455204308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1455204341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123715 + ... + 134965.

It is an arithmetic number, because the mean of its divisors is an integer number (66161760).

Almost surely, 21455204340 is an apocalyptic number.

1455204340 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 1455204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587882240).

1455204340 is an abundant number, since it is smaller than the sum of its proper divisors (1720560140).

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

1455204340 is a wasteful number, since it uses less digits than its factorization.

1455204340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11512 (or 11510 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 1455204340 is about 38147.1406530031. The cubic root of 1455204340 is about 1133.2037258554.

Adding to 1455204340 its reverse (434025541), we get a palindrome (1889229881).

The spelling of 1455204340 in words is "one billion, four hundred fifty-five million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 223 290 446 580 892 1115 2230 4460 6467 11251 12934 22502 25868 32335 45004 56255 64670 112510 129340 225020 326279 652558 1305116 1631395 2508973 3262790 5017946 6525580 10035892 12544865 25089730 50179460 72760217 145520434 291040868 363801085 727602170 1455204340