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334495744 = 2201129
BaseRepresentation
bin10011111100000…
…000000000000000
3212022102010220021
4103330000000000
51141112330434
653105223224
711201111152
oct2374000000
9768363807
10334495744
111618a5670
1294031b14
13543b819b
14325d2ad2
151e574cb4
hex13f00000

334495744 has 84 divisors (see below), whose sum is σ = 754974360. Its totient is φ = 146800640.

The previous prime is 334495729. The next prime is 334495751. The reversal of 334495744 is 447594433.

It is a super-2 number, since 2×3344957442 = 223774805508227072, which contains 22 as substring.

Its product of digits (725760) is a multiple of the sum of its prime divisors (42).

It is a self number, because there is not a number n which added to its sum of digits gives 334495744.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11534322 + ... + 11534350.

It is an arithmetic number, because the mean of its divisors is an integer number (8987790).

Almost surely, 2334495744 is an apocalyptic number.

334495744 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334495744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377487180).

334495744 is an abundant number, since it is smaller than the sum of its proper divisors (420478616).

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

334495744 is an frugal number, since it uses more digits than its factorization.

334495744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 42 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The square root of 334495744 is about 18289.2248058796. The cubic root of 334495744 is about 694.1663098339.

It can be divided in two parts, 33449 and 5744, that added together give a palindrome (39193).

The spelling of 334495744 in words is "three hundred thirty-four million, four hundred ninety-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2048 2552 2816 3712 4096 5104 5632 7424 8192 10208 11264 14848 16384 20416 22528 29696 32768 40832 45056 59392 65536 81664 90112 118784 131072 163328 180224 237568 262144 326656 360448 475136 524288 653312 720896 950272 1048576 1306624 1441792 1900544 2613248 2883584 3801088 5226496 5767168 7602176 10452992 11534336 15204352 20905984 30408704 41811968 83623936 167247872 334495744