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34221432 = 23371971151
BaseRepresentation
bin1000001010001…
…0110101111000
32101101121222110
42002202311320
532230041212
63221252320
7563606640
oct202426570
971347873
1034221432
1118354083
12b5640a0
13712258b
14478b520
15300ea3c
hex20a2d78

34221432 has 128 divisors (see below), whose sum is σ = 105062400. Its totient is φ = 9072000.

The previous prime is 34221431. The next prime is 34221443. The reversal of 34221432 is 23412243.

It is a super-2 number, since 2×342214322 = 2342212816261248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34221399 and 34221408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34221431) 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, 226557 + ... + 226707.

It is an arithmetic number, because the mean of its divisors is an integer number (820800).

Almost surely, 234221432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34221432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52531200).

34221432 is an abundant number, since it is smaller than the sum of its proper divisors (70840968).

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

34221432 is a wasteful number, since it uses less digits than its factorization.

34221432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its digits is 1152, while the sum is 21.

The square root of 34221432 is about 5849.9087172365. The cubic root of 34221432 is about 324.6629468199.

Adding to 34221432 its reverse (23412243), we get a palindrome (57633675).

The spelling of 34221432 in words is "thirty-four million, two hundred twenty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 71 76 84 114 133 142 151 152 168 213 228 266 284 302 399 426 453 456 497 532 568 604 798 852 906 994 1057 1064 1208 1349 1491 1596 1704 1812 1988 2114 2698 2869 2982 3171 3192 3624 3976 4047 4228 5396 5738 5964 6342 8094 8456 8607 9443 10721 10792 11476 11928 12684 16188 17214 18886 20083 21442 22952 25368 28329 32163 32376 34428 37772 40166 42884 56658 60249 64326 68856 75047 75544 80332 85768 113316 120498 128652 150094 160664 203699 225141 226632 240996 257304 300188 407398 450282 481992 600376 611097 814796 900564 1222194 1425893 1629592 1801128 2444388 2851786 4277679 4888776 5703572 8555358 11407144 17110716 34221432