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23348480 = 285172937
BaseRepresentation
bin101100100010…
…0010100000000
31121221020002112
41121010110000
521434122410
62152234452
7402313241
oct131042400
947836075
1023348480
11121a8071
12799ba28
134ab658c
14315acc8
1520b3105
hex1644500

23348480 has 144 divisors (see below), whose sum is σ = 62914320. Its totient is φ = 8257536.

The previous prime is 23348477. The next prime is 23348489. The reversal of 23348480 is 8484332.

It can be written as a sum of positive squares in 8 ways, for example, as 2262016 + 21086464 = 1504^2 + 4592^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23348489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 631022 + ... + 631058.

It is an arithmetic number, because the mean of its divisors is an integer number (436905).

Almost surely, 223348480 is an apocalyptic number.

23348480 is a gapful number since it is divisible by the number (20) 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 23348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31457160).

23348480 is an abundant number, since it is smaller than the sum of its proper divisors (39565840).

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

23348480 is a wasteful number, since it uses less digits than its factorization.

23348480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 23348480 is about 4832.0264899936. The cubic root of 23348480 is about 285.8157810840.

The spelling of 23348480 in words is "twenty-three million, three hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 29 32 34 37 40 58 64 68 74 80 85 116 128 136 145 148 160 170 185 232 256 272 290 296 320 340 370 464 493 544 580 592 629 640 680 740 928 986 1073 1088 1160 1184 1258 1280 1360 1480 1856 1972 2146 2176 2320 2368 2465 2516 2720 2960 3145 3712 3944 4292 4352 4640 4736 4930 5032 5365 5440 5920 6290 7424 7888 8584 9280 9472 9860 10064 10730 10880 11840 12580 15776 17168 18241 18560 19720 20128 21460 21760 23680 25160 31552 34336 36482 37120 39440 40256 42920 47360 50320 63104 68672 72964 78880 80512 85840 91205 100640 126208 137344 145928 157760 161024 171680 182410 201280 274688 291856 315520 343360 364820 402560 583712 631040 686720 729640 805120 1167424 1373440 1459280 2334848 2918560 4669696 5837120 11674240 23348480