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34025004 = 2232132329109
BaseRepresentation
bin1000000111001…
…0111000101100
32101000122112100
42001302320230
532202300004
63213135100
7562131156
oct201627054
971018470
1034025004
111822a542
12b48a490
137084050
144739ad6
152ec1739
hex2072e2c

34025004 has 144 divisors (see below), whose sum is σ = 100900800. Its totient is φ = 9580032.

The previous prime is 34024999. The next prime is 34025009. The reversal of 34025004 is 40052043.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34024999) and next prime (34025009).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34025009) 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 47 ways as a sum of consecutive naturals, for example, 312102 + ... + 312210.

It is an arithmetic number, because the mean of its divisors is an integer number (700700).

Almost surely, 234025004 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 34025004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

34025004 is an abundant number, since it is smaller than the sum of its proper divisors (66875796).

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

34025004 is a wasteful number, since it uses less digits than its factorization.

34025004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 34025004 is about 5833.0955761071. The cubic root of 34025004 is about 324.0405756225.

Adding to 34025004 its reverse (40052043), we get a palindrome (74077047).

The spelling of 34025004 in words is "thirty-four million, twenty-five thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 29 36 39 46 52 58 69 78 87 92 109 116 117 138 156 174 207 218 234 261 276 299 327 348 377 414 436 468 522 598 654 667 754 828 897 981 1044 1131 1196 1308 1334 1417 1508 1794 1962 2001 2262 2507 2668 2691 2834 3161 3393 3588 3924 4002 4251 4524 5014 5382 5668 6003 6322 6786 7521 8004 8502 8671 9483 10028 10764 12006 12644 12753 13572 15042 17004 17342 18966 22563 24012 25506 26013 28449 30084 32591 34684 37932 41093 45126 51012 52026 56898 65182 72703 78039 82186 90252 97773 104052 113796 123279 130364 145406 156078 164372 195546 218109 246558 290812 293319 312156 369837 391092 436218 493116 586638 654327 739674 872436 945139 1173276 1308654 1479348 1890278 2617308 2835417 3780556 5670834 8506251 11341668 17012502 34025004