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344991450 = 23522339871
BaseRepresentation
bin10100100100000…
…010011011011010
3220001011101022010
4110210002123122
51201304211300
654122210350
711356243656
oct2444023332
9801141263
10344991450
11167814201
12976539b6
135662156b
1433b65a66
1520449a50
hex149026da

344991450 has 48 divisors (see below), whose sum is σ = 859337856. Its totient is φ = 91593600.

The previous prime is 344991419. The next prime is 344991487. The reversal of 344991450 is 54199443.

It is a junction number, because it is equal to n+sod(n) for n = 344991399 and 344991408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30015 + ... + 39885.

It is an arithmetic number, because the mean of its divisors is an integer number (17902872).

Almost surely, 2344991450 is an apocalyptic number.

344991450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 344991450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429668928).

344991450 is an abundant number, since it is smaller than the sum of its proper divisors (514346406).

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

344991450 is a wasteful number, since it uses less digits than its factorization.

344991450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10119 (or 10114 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 344991450 is about 18573.9454613176. The cubic root of 344991450 is about 701.3521144759.

The spelling of 344991450 in words is "three hundred forty-four million, nine hundred ninety-one thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 233 466 699 1165 1398 2330 3495 5825 6990 9871 11650 17475 19742 29613 34950 49355 59226 98710 148065 246775 296130 493550 740325 1480650 2299943 4599886 6899829 11499715 13799658 22999430 34499145 57498575 68998290 114997150 172495725 344991450