Search a number
-
+
23408840 = 23571359109
BaseRepresentation
bin101100101001…
…1000011001000
31122001021220002
41121103003020
521443040330
62153422132
7402654230
oct131230310
948037802
1023408840
1112239454
127a0a948
134b07bb0
143174cc0
1520c5e45
hex16530c8

23408840 has 128 divisors (see below), whose sum is σ = 66528000. Its totient is φ = 7216128.

The previous prime is 23408839. The next prime is 23408849. The reversal of 23408840 is 4880432.

It is a super-3 number, since 3×234088403 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23408849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214706 + ... + 214814.

It is an arithmetic number, because the mean of its divisors is an integer number (519750).

Almost surely, 223408840 is an apocalyptic number.

23408840 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 23408840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33264000).

23408840 is an abundant number, since it is smaller than the sum of its proper divisors (43119160).

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

23408840 is a wasteful number, since it uses less digits than its factorization.

23408840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 23408840 is about 4838.2682852442. The cubic root of 23408840 is about 286.0618641337.

The spelling of 23408840 in words is "twenty-three million, four hundred eight thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 59 65 70 91 104 109 118 130 140 182 218 236 260 280 295 364 413 436 455 472 520 545 590 728 763 767 826 872 910 1090 1180 1417 1526 1534 1652 1820 2065 2180 2360 2834 3052 3068 3304 3640 3815 3835 4130 4360 5369 5668 6104 6136 6431 7085 7630 7670 8260 9919 10738 11336 12862 14170 15260 15340 16520 19838 21476 25724 26845 28340 30520 30680 32155 39676 42952 45017 49595 51448 53690 56680 64310 79352 83603 90034 99190 107380 128620 167206 180068 198380 214760 225085 257240 334412 360136 396760 418015 450170 585221 668824 836030 900340 1170442 1672060 1800680 2340884 2926105 3344120 4681768 5852210 11704420 23408840