Search a number
-
+
67935348 = 2234131272
BaseRepresentation
bin1000000110010…
…01110001110100
311201211110210000
410003021301310
5114342412343
610424031300
71453304145
oct403116164
9151743700
1067935348
1135390918
121a902530
13110c7b40
149045acc
155e6ded3
hex40c9c74

67935348 has 90 divisors (see below), whose sum is σ = 192775506. Its totient is φ = 20738592.

The previous prime is 67935341. The next prime is 67935359. The reversal of 67935348 is 84353976.

It can be written as a sum of positive squares in only one way, i.e., 47032164 + 20903184 = 6858^2 + 4572^2 .

It is a super-2 number, since 2×679353482 = 9230423015762208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67935341) 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 29 ways as a sum of consecutive naturals, for example, 534861 + ... + 534987.

Almost surely, 267935348 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 67935348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96387753).

67935348 is an abundant number, since it is smaller than the sum of its proper divisors (124840158).

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

67935348 is a wasteful number, since it uses less digits than its factorization.

67935348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 145 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 67935348 is about 8242.2902157107. The cubic root of 67935348 is about 408.0361127205.

The spelling of 67935348 in words is "sixty-seven million, nine hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 127 156 162 234 254 324 351 381 468 508 702 762 1053 1143 1404 1524 1651 2106 2286 3302 3429 4212 4572 4953 6604 6858 9906 10287 13716 14859 16129 19812 20574 29718 32258 41148 44577 48387 59436 64516 89154 96774 133731 145161 178308 193548 209677 267462 290322 419354 435483 534924 580644 629031 838708 870966 1258062 1306449 1741932 1887093 2516124 2612898 3774186 5225796 5661279 7548372 11322558 16983837 22645116 33967674 67935348