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80344264 = 237111379127
BaseRepresentation
bin1001100100111…
…11010011001000
312121011220121111
410302133103020
5131032004024
611550020104
71663625560
oct462372310
9177156544
1080344264
1141396920
1222aa7634
1313850cb0
14a955da0
1570c0a94
hex4c9f4c8

80344264 has 128 divisors (see below), whose sum is σ = 206438400. Its totient is φ = 28304640.

The previous prime is 80344241. The next prime is 80344289. The reversal of 80344264 is 46244308.

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 31 ways as a sum of consecutive naturals, for example, 632569 + ... + 632695.

It is an arithmetic number, because the mean of its divisors is an integer number (1612800).

Almost surely, 280344264 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 80344264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103219200).

80344264 is an abundant number, since it is smaller than the sum of its proper divisors (126094136).

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

80344264 is a wasteful number, since it uses less digits than its factorization.

80344264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

The square root of 80344264 is about 8963.4961928926. The cubic root of 80344264 is about 431.5041321142.

It can be divided in two parts, 80344 and 264, that added together give a palindrome (80608).

The spelling of 80344264 in words is "eighty million, three hundred forty-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 79 88 91 104 127 143 154 158 182 254 286 308 316 364 508 553 572 616 632 728 869 889 1001 1016 1027 1106 1144 1397 1651 1738 1778 2002 2054 2212 2794 3302 3476 3556 4004 4108 4424 5588 6083 6604 6952 7112 7189 8008 8216 9779 10033 11176 11297 11557 12166 13208 14378 18161 19558 20066 22594 23114 24332 28756 36322 39116 40132 45188 46228 48664 57512 70231 72644 78232 79079 80264 90376 92456 110363 127127 130429 140462 145288 158158 220726 254254 260858 280924 316316 441452 508508 521716 561848 632632 772541 882904 913003 1017016 1043432 1434719 1545082 1826006 2869438 3090164 3652012 5738876 6180328 7304024 10043033 11477752 20086066 40172132 80344264