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434780944 = 2413109127151
BaseRepresentation
bin11001111010100…
…011101100010000
31010022010011022221
4121322203230100
51342300442234
6111050510424
713526401633
oct3172435420
91108104287
10434780944
112034713a4
12101735414
136c0cb740
1441a59c1a
1528283eb4
hex19ea3b10

434780944 has 80 divisors (see below), whose sum is σ = 928829440. Its totient is φ = 195955200.

The previous prime is 434780939. The next prime is 434780999. The reversal of 434780944 is 449087434.

It is a super-2 number, since 2×4347809442 = 378068938531062272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 434780944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2879269 + ... + 2879419.

It is an arithmetic number, because the mean of its divisors is an integer number (11610368).

Almost surely, 2434780944 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 434780944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464414720).

434780944 is an abundant number, since it is smaller than the sum of its proper divisors (494048496).

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

434780944 is a wasteful number, since it uses less digits than its factorization.

434780944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The square root of 434780944 is about 20851.4014876698. The cubic root of 434780944 is about 757.5712772992.

The spelling of 434780944 in words is "four hundred thirty-four million, seven hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 127 151 208 218 254 302 436 508 604 872 1016 1208 1417 1651 1744 1963 2032 2416 2834 3302 3926 5668 6604 7852 11336 13208 13843 15704 16459 19177 22672 26416 27686 31408 32918 38354 55372 65836 76708 110744 131672 153416 179959 213967 221488 249301 263344 306832 359918 427934 498602 719836 855868 997204 1439672 1711736 1994408 2090293 2879344 3423472 3988816 4180586 8361172 16722344 27173809 33444688 54347618 108695236 217390472 434780944