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456420331 = 3373733631
BaseRepresentation
bin11011001101000…
…110101111101011
31011210211112222201
4123031012233223
51413320422311
6113142401031
714211336343
oct3315065753
91153745881
10456420331
11214701394
12108a30177
1373737103
144488dd23
152a10a9c1
hex1b346beb

456420331 has 8 divisors (see below), whose sum is σ = 459128384. Its totient is φ = 453720960.

The previous prime is 456420329. The next prime is 456420359. The reversal of 456420331 is 133024654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456420331 - 21 = 456420329 is a prime.

It is a super-2 number, since 2×4564203312 = 416639037100299122, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456420331.

It is not an unprimeable number, because it can be changed into a prime (456420311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123886 + ... + 127516.

It is an arithmetic number, because the mean of its divisors is an integer number (57391048).

Almost surely, 2456420331 is an apocalyptic number.

456420331 is a deficient number, since it is larger than the sum of its proper divisors (2708053).

456420331 is a wasteful number, since it uses less digits than its factorization.

456420331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341.

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 456420331 is about 21363.9961383633. The cubic root of 456420331 is about 769.9366513353.

Adding to 456420331 its reverse (133024654), we get a palindrome (589444985).

The spelling of 456420331 in words is "four hundred fifty-six million, four hundred twenty thousand, three hundred thirty-one".

Divisors: 1 337 373 3631 125701 1223647 1354363 456420331