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5348430 = 23553171
BaseRepresentation
bin10100011001110001001110
3101001201200000
4110121301032
52332122210
6310345130
763314043
oct24316116
911051600
105348430
11302339a
12195b1a6
131153569
149d31ca
15709ac0
hex519c4e

5348430 has 96 divisors (see below), whose sum is σ = 15095808. Its totient is φ = 1360800.

The previous prime is 5348429. The next prime is 5348449. The reversal of 5348430 is 348435.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 5348394 and 5348403.

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, 75295 + ... + 75365.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 25348430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547904).

5348430 is an abundant number, since it is smaller than the sum of its proper divisors (9747378).

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

5348430 is a wasteful number, since it uses less digits than its factorization.

5348430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5348430 is about 2312.6672912462. The cubic root of 5348430 is about 174.8807895603.

It can be divided in two parts, 5348 and 430, that added together give a triangular number (5778 = T107).

The spelling of 5348430 in words is "five million, three hundred forty-eight thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 71 81 90 93 135 142 155 162 186 213 243 270 279 310 355 405 426 465 486 558 639 710 810 837 930 1065 1215 1278 1395 1674 1917 2130 2201 2430 2511 2790 3195 3834 4185 4402 5022 5751 6390 6603 7533 8370 9585 11005 11502 12555 13206 15066 17253 19170 19809 22010 25110 28755 33015 34506 37665 39618 57510 59427 66030 75330 86265 99045 118854 172530 178281 198090 297135 356562 534843 594270 891405 1069686 1782810 2674215 5348430