Search a number
-
+
621408348 = 22361119373
BaseRepresentation
bin100101000010011…
…111000001011100
31121022021211000000
4211002133001130
52233040031343
6141354534300
721253612101
oct4502370134
91538254000
10621408348
11299850320
12154137390
139b983062
145c75aaa8
153984aed3
hex2509f05c

621408348 has 84 divisors (see below), whose sum is σ = 1778765688. Its totient is φ = 188295840.

The previous prime is 621408343. The next prime is 621408349. The reversal of 621408348 is 843804126.

It is a super-2 number, since 2×6214083482 = 772296669928178208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (621408343) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 22390 + ... + 41762.

It is an arithmetic number, because the mean of its divisors is an integer number (21175782).

Almost surely, 2621408348 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 621408348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889382844).

621408348 is an abundant number, since it is smaller than the sum of its proper divisors (1157357340).

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

621408348 is a wasteful number, since it uses less digits than its factorization.

621408348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19406 (or 19389 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 621408348 is about 24928.0634626920. The cubic root of 621408348 is about 853.3470557825.

The spelling of 621408348 in words is "six hundred twenty-one million, four hundred eight thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3564 5346 8019 10692 16038 19373 32076 38746 58119 77492 116238 174357 213103 232476 348714 426206 523071 639309 697428 852412 1046142 1278618 1569213 1917927 2092284 2557236 3138426 3835854 4707639 5753781 6276852 7671708 9415278 11507562 14122917 17261343 18830556 23015124 28245834 34522686 51784029 56491668 69045372 103568058 155352087 207136116 310704174 621408348