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23714320 = 2457174753
BaseRepresentation
bin101101001110…
…1101000010000
31122121210221011
41122131220100
522032324240
62204140304
7405365650
oct132355020
948553834
1023714320
1112427a13
127b37694
134bb3c56
143214360
1521366ea
hex169da10

23714320 has 160 divisors (see below), whose sum is σ = 69424128. Its totient is φ = 7348224.

The previous prime is 23714309. The next prime is 23714347. The reversal of 23714320 is 2341732.

It is a junction number, because it is equal to n+sod(n) for n = 23714291 and 23714300.

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 31 ways as a sum of consecutive naturals, for example, 447414 + ... + 447466.

Almost surely, 223714320 is an apocalyptic number.

23714320 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 23714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34712064).

23714320 is an abundant number, since it is smaller than the sum of its proper divisors (45709808).

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

23714320 is a wasteful number, since it uses less digits than its factorization.

23714320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23714320 is about 4869.7351057321. The cubic root of 23714320 is about 287.3008374895.

The spelling of 23714320 in words is "twenty-three million, seven hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 47 53 56 68 70 80 85 94 106 112 119 136 140 170 188 212 235 238 265 272 280 329 340 371 376 424 470 476 530 560 595 658 680 742 752 799 848 901 940 952 1060 1190 1316 1360 1484 1598 1645 1802 1855 1880 1904 2120 2380 2491 2632 2968 3196 3290 3604 3710 3760 3995 4240 4505 4760 4982 5264 5593 5936 6307 6392 6580 7208 7420 7990 9010 9520 9964 11186 12455 12614 12784 13160 14416 14840 15980 17437 18020 19928 22372 24910 25228 26320 27965 29680 31535 31960 34874 36040 39856 42347 44744 49820 50456 55930 63070 63920 69748 72080 84694 87185 89488 99640 100912 111860 126140 139496 169388 174370 199280 211735 223720 252280 278992 296429 338776 348740 423470 447440 504560 592858 677552 697480 846940 1185716 1394960 1482145 1693880 2371432 2964290 3387760 4742864 5928580 11857160 23714320