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434042304 = 26329137569
BaseRepresentation
bin11001110111101…
…111010111000000
31010020201122002220
4121313233113000
51342103323204
6111023011040
713520204313
oct3167572700
91106648086
10434042304
11203007453
12101439a80
136bc00487
144190697a
152818a1d9
hex19def5c0

434042304 has 112 divisors (see below), whose sum is σ = 1198778400. Its totient is φ = 138428416.

The previous prime is 434042299. The next prime is 434042339. The reversal of 434042304 is 403240434.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 762532 + ... + 763100.

Almost surely, 2434042304 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 434042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599389200).

434042304 is an abundant number, since it is smaller than the sum of its proper divisors (764736096).

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

434042304 is a wasteful number, since it uses less digits than its factorization.

434042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

The square root of 434042304 is about 20833.6819597497. The cubic root of 434042304 is about 757.1420269397.

Adding to 434042304 its reverse (403240434), we get a palindrome (837282738).

The spelling of 434042304 in words is "four hundred thirty-four million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 137 174 192 232 274 348 411 464 548 569 696 822 928 1096 1138 1392 1644 1707 1856 2192 2276 2784 3288 3414 3973 4384 4552 5568 6576 6828 7946 8768 9104 11919 13152 13656 15892 16501 18208 23838 26304 27312 31784 33002 36416 47676 49503 54624 63568 66004 77953 95352 99006 109248 127136 132008 155906 190704 198012 233859 254272 264016 311812 381408 396024 467718 528032 623624 762816 792048 935436 1056064 1247248 1584096 1870872 2260637 2494496 3168192 3741744 4521274 4988992 6781911 7483488 9042548 13563822 14966976 18085096 27127644 36170192 54255288 72340384 108510576 144680768 217021152 434042304