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434299392 = 29323072
BaseRepresentation
bin11001111000101…
…110001000000000
31010021012200202200
4121320232020000
51342140040032
6111032313200
713522324662
oct3170561000
91107180680
10434299392
1120317261a
12101542800
136bc904b7
1441972532
15281db47c
hex19e2e200

434299392 has 90 divisors (see below), whose sum is σ = 1257513543. Its totient is φ = 144294912.

The previous prime is 434299339. The next prime is 434299399. The reversal of 434299392 is 293992434.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 217149696 + 217149696 = 14736^2 + 14736^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14736.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (434299399) 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 8 ways as a sum of consecutive naturals, for example, 1414503 + ... + 1414809.

Almost surely, 2434299392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434299392

434299392 is an abundant number, since it is smaller than the sum of its proper divisors (823214151).

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

434299392 is an frugal number, since it uses more digits than its factorization.

434299392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 312 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 434299392 is about 20839.8510551299. The cubic root of 434299392 is about 757.2914852673.

The spelling of 434299392 in words is "four hundred thirty-four million, two hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 307 384 512 576 614 768 921 1152 1228 1536 1842 2304 2456 2763 3684 4608 4912 5526 7368 9824 11052 14736 19648 22104 29472 39296 44208 58944 78592 88416 94249 117888 157184 176832 188498 235776 282747 353664 376996 471552 565494 707328 753992 848241 1130988 1414656 1507984 1696482 2261976 3015968 3392964 4523952 6031936 6785928 9047904 12063872 13571856 18095808 24127744 27143712 36191616 48255488 54287424 72383232 108574848 144766464 217149696 434299392