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451343640 = 233511341927
BaseRepresentation
bin11010111001101…
…111010100011000
31011110021122002010
4122321233110120
51411020444030
6112441505520
714120233446
oct3271572430
91143248063
10451343640
11211854180
121071a22a0
137267a457
1443d2bb96
15299566b0
hex1ae6f518

451343640 has 64 divisors (see below), whose sum is σ = 1477128960. Its totient is φ = 109416320.

The previous prime is 451343639. The next prime is 451343647. The reversal of 451343640 is 46343154.

It is a super-2 number, since 2×4513436402 = 407422162736899200, which contains 22 as substring.

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 = 451343598 and 451343607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451343647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169644 + ... + 172283.

It is an arithmetic number, because the mean of its divisors is an integer number (23080140).

Almost surely, 2451343640 is an apocalyptic number.

451343640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451343640 is an abundant number, since it is smaller than the sum of its proper divisors (1025785320).

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

451343640 is a wasteful number, since it uses less digits than its factorization.

451343640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341952 (or 341948 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 451343640 is about 21244.8497288166. The cubic root of 451343640 is about 767.0713738077.

Adding to 451343640 its reverse (46343154), we get a palindrome (497686794).

The spelling of 451343640 in words is "four hundred fifty-one million, three hundred forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 341927 683854 1025781 1367708 1709635 2051562 2735416 3419270 3761197 4103124 5128905 6838540 7522394 8206248 10257810 11283591 13677080 15044788 18805985 20515620 22567182 30089576 37611970 41031240 45134364 56417955 75223940 90268728 112835910 150447880 225671820 451343640