[go: up one dir, main page]

Search a number
-
+
67340988 = 22321113103127
BaseRepresentation
bin1000000001110…
…00101010111100
311200201021110200
410000320222330
5114214402423
610403203500
71445250261
oct400705274
9150637420
1067340988
1135015310
121a676590
1310c4a450
148d2d268
155da2d43
hex4038abc

67340988 has 144 divisors (see below), whose sum is σ = 203513856. Its totient is φ = 18506880.

The previous prime is 67340953. The next prime is 67341013. The reversal of 67340988 is 88904376.

It is a happy number.

It is a super-2 number, since 2×673409882 = 9069617329632288, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 530181 + ... + 530307.

Almost surely, 267340988 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 67340988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101756928).

67340988 is an abundant number, since it is smaller than the sum of its proper divisors (136172868).

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

67340988 is a wasteful number, since it uses less digits than its factorization.

67340988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 67340988 is about 8206.1554945053. The cubic root of 67340988 is about 406.8426688971.

The spelling of 67340988 in words is "sixty-seven million, three hundred forty thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 103 117 127 132 143 156 198 206 234 254 286 309 381 396 412 429 468 508 572 618 762 858 927 1133 1143 1236 1287 1339 1397 1524 1651 1716 1854 2266 2286 2574 2678 2794 3302 3399 3708 4017 4191 4532 4572 4953 5148 5356 5588 6604 6798 8034 8382 9906 10197 12051 12573 13081 13596 14729 14859 16068 16764 18161 19812 20394 24102 25146 26162 29458 29718 36322 39243 40788 44187 48204 50292 52324 54483 58916 59436 72644 78486 88374 108966 117729 132561 143891 156972 163449 170053 176748 217932 235458 265122 287782 326898 340106 431673 470916 510159 530244 575564 653796 680212 863346 1020318 1295019 1530477 1726692 1870583 2040636 2590038 3060954 3741166 5180076 5611749 6121908 7482332 11223498 16835247 22446996 33670494 67340988