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80434944 = 2836431
BaseRepresentation
bin1001100101101…
…01011100000000
312121100112000000
410302311130000
5131042404234
611552000000
71664454132
oct462653400
9177315000
1080434944
1141448a67
1222b30000
1313883355
14a97b052
1570dc899
hex4cb5700

80434944 has 126 divisors (see below), whose sum is σ = 241281936. Its totient is φ = 26749440.

The previous prime is 80434943. The next prime is 80434957. The reversal of 80434944 is 44943408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 80434899 and 80434908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80434943) 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 13 ways as a sum of consecutive naturals, for example, 186409 + ... + 186839.

It is an arithmetic number, because the mean of its divisors is an integer number (1914936).

Almost surely, 280434944 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 80434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120640968).

80434944 is an abundant number, since it is smaller than the sum of its proper divisors (160846992).

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

80434944 is an frugal number, since it uses more digits than its factorization.

80434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 80434944 is about 8968.5530605555. The cubic root of 80434944 is about 431.6664091337. Note that the first 3 decimals are identical.

The spelling of 80434944 in words is "eighty million, four hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 431 432 486 576 648 729 768 862 864 972 1152 1293 1296 1458 1724 1728 1944 2304 2586 2592 2916 3448 3456 3879 3888 5172 5184 5832 6896 6912 7758 7776 10344 10368 11637 11664 13792 15516 15552 20688 20736 23274 23328 27584 31032 31104 34911 41376 46548 46656 55168 62064 62208 69822 82752 93096 93312 104733 110336 124128 139644 165504 186192 186624 209466 248256 279288 314199 331008 372384 418932 496512 558576 628398 744768 837864 993024 1117152 1256796 1489536 1675728 2234304 2513592 2979072 3351456 4468608 5027184 6702912 8937216 10054368 13405824 20108736 26811648 40217472 80434944