Search a number
-
+
997434 = 23447131
BaseRepresentation
bin11110011100000111010
31212200020000
43303200322
5223404214
633213430
711322654
oct3634072
91780200
10997434
11621429
12401276
1328bcc9
141bd6d4
1514a809
hexf383a

997434 has 40 divisors (see below), whose sum is σ = 2299968. Its totient is φ = 322920.

The previous prime is 997433. The next prime is 997439. The reversal of 997434 is 434799.

It is an Ulam number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (997433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7549 + ... + 7679.

2997434 is an apocalyptic number.

997434 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 997434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149984).

997434 is an abundant number, since it is smaller than the sum of its proper divisors (1302534).

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

997434 is a wasteful number, since it uses less digits than its factorization.

997434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 997434 is about 998.7161758978. The cubic root of 997434 is about 99.9143934027.

It can be divided in two parts, 997 and 434, that added together give a triangular number (1431 = T53).

The spelling of 997434 in words is "nine hundred ninety-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 131 141 162 262 282 393 423 786 846 1179 1269 2358 2538 3537 3807 6157 7074 7614 10611 12314 18471 21222 36942 55413 110826 166239 332478 498717 997434