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455234340 = 223511798731
BaseRepresentation
bin11011001000100…
…101001100100100
31011201121022010010
4123020211030210
51413014444330
6113101130220
714165266551
oct3310451444
91151538103
10455234340
11213a71330
12108559970
1373410342
1444661a28
1529e743b0
hex1b225324

455234340 has 96 divisors (see below), whose sum is σ = 1408296960. Its totient is φ = 108950400.

The previous prime is 455234309. The next prime is 455234359. The reversal of 455234340 is 43432554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 455234298 and 455234307.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47775 + ... + 56505.

It is an arithmetic number, because the mean of its divisors is an integer number (14669760).

Almost surely, 2455234340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455234340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704148480).

455234340 is an abundant number, since it is smaller than the sum of its proper divisors (953062620).

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

455234340 is a wasteful number, since it uses less digits than its factorization.

455234340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8833 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 455234340 is about 21336.2213149377. The cubic root of 455234340 is about 769.2691891016.

Adding to 455234340 its reverse (43432554), we get a palindrome (498666894).

The spelling of 455234340 in words is "four hundred fifty-five million, two hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 79 110 132 158 165 220 237 316 330 395 474 660 790 869 948 1185 1580 1738 2370 2607 3476 4345 4740 5214 8690 8731 10428 13035 17380 17462 26070 26193 34924 43655 52140 52386 87310 96041 104772 130965 174620 192082 261930 288123 384164 480205 523860 576246 689749 960410 1152492 1379498 1440615 1920820 2069247 2758996 2881230 3448745 4138494 5762460 6897490 7587239 8276988 10346235 13794980 15174478 20692470 22761717 30348956 37936195 41384940 45523434 75872390 91046868 113808585 151744780 227617170 455234340