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32323201134 = 2373711571409
BaseRepresentation
bin11110000110100111…
…001110100001101110
310002102122210202012120
4132012213032201232
51012144214414014
622503222213410
72222666451000
oct360647164156
9102378722176
1032323201134
1112787671474
126320b84266
1330817a1723
1417c8bd6370
15c92a7eba9
hex7869ce86e

32323201134 has 128 divisors (see below), whose sum is σ = 76992768000. Its totient is φ = 9040711680.

The previous prime is 32323201067. The next prime is 32323201159. The reversal of 32323201134 is 43110232323.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22939822 + ... + 22941230.

It is an arithmetic number, because the mean of its divisors is an integer number (601506000).

Almost surely, 232323201134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32323201134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38496384000).

32323201134 is an abundant number, since it is smaller than the sum of its proper divisors (44669566866).

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

32323201134 is a wasteful number, since it uses less digits than its factorization.

32323201134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1663 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 32323201134 its reverse (43110232323), we get a palindrome (75433433457).

The spelling of 32323201134 in words is "thirty-two billion, three hundred twenty-three million, two hundred one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 157 213 294 314 343 426 471 497 686 942 994 1029 1099 1409 1491 2058 2198 2818 2982 3297 3479 4227 6594 6958 7693 8454 9863 10437 11147 15386 19726 20874 22294 23079 24353 29589 33441 46158 48706 53851 59178 66882 69041 73059 78029 100039 107702 138082 146118 156058 161553 200078 207123 221213 234087 300117 323106 414246 442426 468174 483287 546203 600234 663639 700273 966574 1092406 1327278 1400546 1449861 1548491 1638609 2100819 2899722 3096982 3277218 3823421 4201638 4645473 4901911 7646842 9290946 9803822 10839437 11470263 14705733 15706123 21678874 22940526 29411466 31412246 32518311 34313377 47118369 65036622 68626754 75876059 94236738 102940131 109942861 151752118 205880262 219885722 227628177 329828583 455256354 659657166 769600027 1539200054 2308800081 4617600162 5387200189 10774400378 16161600567 32323201134