Search a number
-
+
123343440 = 243511192459
BaseRepresentation
bin1110101101000…
…01001001010000
322121002111101120
413112201021100
5223033442230
620123402240
73025254603
oct726411120
9277074346
10123343440
1163695830
1235383380
131c7279ac
141254a33a
15ac66310
hex75a1250

123343440 has 160 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 28316160.

The previous prime is 123343417. The next prime is 123343447. The reversal of 123343440 is 44343321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 123343440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123343447) 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 31 ways as a sum of consecutive naturals, for example, 48931 + ... + 51389.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2123343440 is an apocalyptic number.

123343440 is a gapful number since it is divisible by the number (10) 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 123343440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

123343440 is an abundant number, since it is smaller than the sum of its proper divisors (315914160).

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

123343440 is a wasteful number, since it uses less digits than its factorization.

123343440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 123343440 is about 11106.0091842209. The cubic root of 123343440 is about 497.7814237320.

Adding to 123343440 its reverse (44343321), we get a palindrome (167686761).

The spelling of 123343440 in words is "one hundred twenty-three million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 30 33 38 40 44 48 55 57 60 66 76 80 88 95 110 114 120 132 152 165 176 190 209 220 228 240 264 285 304 330 380 418 440 456 528 570 627 660 760 836 880 912 1045 1140 1254 1320 1520 1672 2090 2280 2459 2508 2640 3135 3344 4180 4560 4918 5016 6270 7377 8360 9836 10032 12295 12540 14754 16720 19672 24590 25080 27049 29508 36885 39344 46721 49180 50160 54098 59016 73770 81147 93442 98360 108196 118032 135245 140163 147540 162294 186884 196720 216392 233605 270490 280326 295080 324588 373768 405735 432784 467210 513931 540980 560652 590160 649176 700815 747536 811470 934420 1027862 1081960 1121304 1298352 1401630 1541793 1622940 1868840 2055724 2163920 2242608 2569655 2803260 3083586 3245880 3737680 4111448 5139310 5606520 6167172 6491760 7708965 8222896 10278620 11213040 12334344 15417930 20557240 24668688 30835860 41114480 61671720 123343440