Search a number
-
+
32243034120 = 23351135369197
BaseRepresentation
bin11110000001110101…
…011010100000001000
310002020001221211201220
4132001311122200020
51012013204042440
622451240042040
72221004160633
oct360165324010
9102201854656
1032243034120
1112746396840
1262ba163320
13306acb331b
1417bc2c8c1a
15c8a9e68d0
hex781d5a808

32243034120 has 128 divisors (see below), whose sum is σ = 105823117440. Its totient is φ = 7794237440.

The previous prime is 32243034101. The next prime is 32243034121. The reversal of 32243034120 is 2143034223.

It is a super-2 number, since 2×322430341202 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (32243034121) 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, 431362 + ... + 500558.

It is an arithmetic number, because the mean of its divisors is an integer number (826743105).

Almost surely, 232243034120 is an apocalyptic number.

32243034120 is a gapful number since it is divisible by the number (30) 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 32243034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52911558720).

32243034120 is an abundant number, since it is smaller than the sum of its proper divisors (73580083320).

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

32243034120 is a wasteful number, since it uses less digits than its factorization.

32243034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69575 (or 69571 counting only the distinct ones).

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

Adding to 32243034120 its reverse (2143034223), we get a palindrome (34386068343).

The spelling of 32243034120 in words is "thirty-two billion, two hundred forty-three million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 353 440 660 706 1059 1320 1412 1765 2118 2824 3530 3883 4236 5295 7060 7766 8472 10590 11649 14120 15532 19415 21180 23298 31064 38830 42360 46596 58245 69197 77660 93192 116490 138394 155320 207591 232980 276788 345985 415182 465960 553576 691970 761167 830364 1037955 1383940 1522334 1660728 2075910 2283501 2767880 3044668 3805835 4151820 4567002 6089336 7611670 8303640 9134004 11417505 15223340 18268008 22835010 24426541 30446680 45670020 48853082 73279623 91340040 97706164 122132705 146559246 195412328 244265410 268691951 293118492 366398115 488530820 537383902 586236984 732796230 806075853 977061640 1074767804 1343459755 1465592460 1612151706 2149535608 2686919510 2931184920 3224303412 4030379265 5373839020 6448606824 8060758530 10747678040 16121517060 32243034120