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34041476 = 22722953113
BaseRepresentation
bin1000000111011…
…0111010000100
32101001111010102
42001312322010
532203311401
63213343232
7562230200
oct201667204
971044112
1034041476
1118240957
12b497b18
13708b6b1
144741b00
152ec656b
hex2076e84

34041476 has 72 divisors (see below), whose sum is σ = 73687320. Its totient is φ = 13698048.

The previous prime is 34041467. The next prime is 34041493. The reversal of 34041476 is 67414043.

It can be written as a sum of positive squares in 4 ways, for example, as 1254400 + 32787076 = 1120^2 + 5726^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 301196 + ... + 301308.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 234041476 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 34041476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36843660).

34041476 is an abundant number, since it is smaller than the sum of its proper divisors (39645844).

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

34041476 is a wasteful number, since it uses less digits than its factorization.

34041476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 34041476 is about 5834.5073485257. The cubic root of 34041476 is about 324.0928581073.

The spelling of 34041476 in words is "thirty-four million, forty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 28 29 49 53 58 98 106 113 116 196 203 212 226 371 406 452 742 791 812 1421 1484 1537 1582 2597 2842 3074 3164 3277 5194 5537 5684 5989 6148 6554 10388 10759 11074 11978 13108 21518 22148 22939 23956 41923 43036 45878 75313 83846 91756 150626 160573 167692 173681 293461 301252 321146 347362 586922 642292 694724 1173844 1215767 2431534 4863068 8510369 17020738 34041476