Search a number
-
+
123355344 = 24372179293
BaseRepresentation
bin1110101101001…
…00000011010000
322121010002201110
413112210003100
5223034332334
620123533320
73025334400
oct726440320
9277102643
10123355344
11636a3772
123538a240
131c730238
1412550800
15ac69ae9
hex75a40d0

123355344 has 120 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 34927872.

The previous prime is 123355343. The next prime is 123355361. The reversal of 123355344 is 443553321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123355343) 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 23 ways as a sum of consecutive naturals, for example, 420862 + ... + 421154.

It is an arithmetic number, because the mean of its divisors is an integer number (3116988).

Almost surely, 2123355344 is an apocalyptic number.

123355344 is a gapful number since it is divisible by the number (14) 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 123355344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

123355344 is an abundant number, since it is smaller than the sum of its proper divisors (250683216).

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

123355344 is a wasteful number, since it uses less digits than its factorization.

123355344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 484 counting only the distinct ones).

The product of its digits is 21600, while the sum is 30.

The square root of 123355344 is about 11106.5450973739. The cubic root of 123355344 is about 497.7974370129.

The spelling of 123355344 in words is "one hundred twenty-three million, three hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 179 196 293 294 336 358 392 537 586 588 716 784 879 1074 1172 1176 1253 1432 1758 2051 2148 2344 2352 2506 2864 3516 3759 4102 4296 4688 5012 6153 7032 7518 8204 8592 8771 10024 12306 14064 14357 15036 16408 17542 20048 24612 26313 28714 30072 32816 35084 43071 49224 52447 52626 57428 60144 70168 86142 98448 104894 105252 114856 140336 157341 172284 209788 210504 229712 314682 344568 367129 419576 421008 629364 689136 734258 839152 1101387 1258728 1468516 2202774 2517456 2569903 2937032 4405548 5139806 5874064 7709709 8811096 10279612 15419418 17622192 20559224 30838836 41118448 61677672 123355344