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434444040 = 23335402263
BaseRepresentation
bin11001111001010…
…001011100001000
31010021111001012000
4121321101130020
51342204202130
6111035351000
713523466462
oct3171213410
91107431160
10434444040
11203261268
121015b2460
136c0112a4
14419ad132
1528219260
hex19e51708

434444040 has 64 divisors (see below), whose sum is σ = 1448150400. Its totient is φ = 115851456.

The previous prime is 434444039. The next prime is 434444051. The reversal of 434444040 is 40444434.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 434443995 and 434444013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200052 + ... + 202211.

It is an arithmetic number, because the mean of its divisors is an integer number (22627350).

Almost surely, 2434444040 is an apocalyptic number.

434444040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434444040 is an abundant number, since it is smaller than the sum of its proper divisors (1013706360).

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

434444040 is a wasteful number, since it uses less digits than its factorization.

434444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402283 (or 402273 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

The square root of 434444040 is about 20843.3212324716. The cubic root of 434444040 is about 757.3755505778.

Adding to 434444040 its reverse (40444434), we get a palindrome (474888474).

It can be divided in two parts, 4344 and 44040, that added together give a palindrome (48384).

The spelling of 434444040 in words is "four hundred thirty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 402263 804526 1206789 1609052 2011315 2413578 3218104 3620367 4022630 4827156 6033945 7240734 8045260 9654312 10861101 12067890 14481468 16090520 18101835 21722202 24135780 28962936 36203670 43444404 48271560 54305505 72407340 86888808 108611010 144814680 217222020 434444040