Search a number
-
+
454734 = 2347401
BaseRepresentation
bin1101111000001001110
3212002210000
41233001032
5104022414
613425130
73602520
oct1570116
9762700
10454734
11290715
1219b1a6
1312bc97
14bba10
158eb09
hex6f04e

454734 has 40 divisors (see below), whose sum is σ = 1167408. Its totient is φ = 129600.

The previous prime is 454723. The next prime is 454759. The reversal of 454734 is 437454.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 454698 and 454707.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 454734.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 934 + ... + 1334.

2454734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583704).

454734 is an abundant number, since it is smaller than the sum of its proper divisors (712674).

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

454734 is a wasteful number, since it uses less digits than its factorization.

454734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 413 counting only the distinct ones).

The product of its digits is 6720, while the sum is 27.

The square root of 454734 is about 674.3396770175. The cubic root of 454734 is about 76.8987255740.

The spelling of 454734 in words is "four hundred fifty-four thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 401 567 802 1134 1203 2406 2807 3609 5614 7218 8421 10827 16842 21654 25263 32481 50526 64962 75789 151578 227367 454734