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454342240 = 25511376977
BaseRepresentation
bin11011000101001…
…011011001100000
31011122220222101101
4123011023121200
51412302422430
6113030044144
714154562642
oct3305133140
91148828341
10454342240
11213512060
121081a9654
137318a281
14444ac892
1529d49dca
hex1b14b660

454342240 has 96 divisors (see below), whose sum is σ = 1202783904. Its totient is φ = 160727040.

The previous prime is 454342219. The next prime is 454342247. The reversal of 454342240 is 42243454.

It is a junction number, because it is equal to n+sod(n) for n = 454342199 and 454342208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454342247) 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 15 ways as a sum of consecutive naturals, for example, 61632 + ... + 68608.

It is an arithmetic number, because the mean of its divisors is an integer number (12528999).

Almost surely, 2454342240 is an apocalyptic number.

454342240 is a gapful number since it is divisible by the number (40) 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 454342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601391952).

454342240 is an abundant number, since it is smaller than the sum of its proper divisors (748441664).

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

454342240 is a wasteful number, since it uses less digits than its factorization.

454342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7040 (or 7032 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 28.

The square root of 454342240 is about 21315.3052992445. The cubic root of 454342240 is about 768.7663610328.

Adding to 454342240 its reverse (42243454), we get a palindrome (496585694).

It can be divided in two parts, 45434 and 2240, that added together give a palindrome (47674).

The spelling of 454342240 in words is "four hundred fifty-four million, three hundred forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 74 80 88 110 148 160 176 185 220 296 352 370 407 440 592 740 814 880 1184 1480 1628 1760 2035 2960 3256 4070 5920 6512 6977 8140 13024 13954 16280 27908 32560 34885 55816 65120 69770 76747 111632 139540 153494 223264 258149 279080 306988 383735 516298 558160 613976 767470 1032596 1116320 1227952 1290745 1534940 2065192 2455904 2581490 2839639 3069880 4130384 5162980 5679278 6139760 8260768 10325960 11358556 12279520 14198195 20651920 22717112 28396390 41303840 45434224 56792780 90868448 113585560 227171120 454342240