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273311064 = 233313131743
BaseRepresentation
bin10000010010100…
…110010101011000
3201001021122022000
4100102212111120
51024431423224
643042001000
76526051155
oct2022462530
9631248260
10273311064
11130305714
1277646160
1344814c30
142842722c
1518edb0c9
hex104a6558

273311064 has 128 divisors (see below), whose sum is σ = 824947200. Its totient is φ = 83341440.

The previous prime is 273311041. The next prime is 273311081. The reversal of 273311064 is 460113372.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 367477 + ... + 368219.

It is an arithmetic number, because the mean of its divisors is an integer number (6444900).

Almost surely, 2273311064 is an apocalyptic number.

273311064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412473600).

273311064 is an abundant number, since it is smaller than the sum of its proper divisors (551636136).

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

273311064 is a wasteful number, since it uses less digits than its factorization.

273311064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 273311064 is about 16532.1221868216. The cubic root of 273311064 is about 648.9617064418.

The spelling of 273311064 in words is "two hundred seventy-three million, three hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 131 156 216 234 262 312 351 393 468 524 702 743 786 936 1048 1179 1404 1486 1572 1703 2229 2358 2808 2972 3144 3406 3537 4458 4716 5109 5944 6687 6812 7074 8916 9432 9659 10218 13374 13624 14148 15327 17832 19318 20061 20436 26748 28296 28977 30654 38636 40122 40872 45981 53496 57954 61308 77272 80244 86931 91962 97333 115908 122616 160488 173862 183924 194666 231816 260793 291999 347724 367848 389332 521586 583998 695448 778664 875997 1043172 1167996 1265329 1751994 2086344 2335992 2530658 2627991 3503988 3795987 5061316 5255982 7007976 7591974 10122632 10511964 11387961 15183948 21023928 22775922 30367896 34163883 45551844 68327766 91103688 136655532 273311064