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33381234 = 2341722331
BaseRepresentation
bin111111101010…
…1101101110010
32022210221110000
41333111231302
532021144414
63151250430
7553510245
oct177255562
968727400
1033381234
111792a8a7
12b219a16
136bba013
14460d25c
152de5b09
hex1fd5b72

33381234 has 120 divisors (see below), whose sum is σ = 85586688. Its totient is φ = 9694080.

The previous prime is 33381223. The next prime is 33381241. The reversal of 33381234 is 43218333.

It is a super-2 number, since 2×333812342 = 2228613566725512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33381198 and 33381207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1076799 + ... + 1076829.

Almost surely, 233381234 is an apocalyptic number.

33381234 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33381234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42793344).

33381234 is an abundant number, since it is smaller than the sum of its proper divisors (52205454).

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

33381234 is a wasteful number, since it uses less digits than its factorization.

33381234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 76 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 33381234 is about 5777.6495220808. The cubic root of 33381234 is about 321.9838797017.

Adding to 33381234 its reverse (43218333), we get a palindrome (76599567).

The spelling of 33381234 in words is "thirty-three million, three hundred eighty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 23 27 31 34 46 51 54 62 69 81 93 102 138 153 162 186 207 279 289 306 391 414 459 527 558 578 621 713 782 837 867 918 1054 1173 1242 1377 1426 1581 1674 1734 1863 2139 2346 2511 2601 2754 3162 3519 3726 4278 4743 5022 5202 6417 6647 7038 7803 8959 9486 10557 12121 12834 13294 14229 15606 17918 19251 19941 21114 23409 24242 26877 28458 31671 36363 38502 39882 42687 46818 53754 57753 59823 63342 72726 80631 85374 109089 115506 119646 161262 179469 206057 218178 241893 327267 358938 412114 483786 538407 618171 654534 725679 981801 1076814 1236342 1451358 1854513 1963602 3709026 5563539 11127078 16690617 33381234