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34001044 = 227111011093
BaseRepresentation
bin1000000110110…
…1000010010100
32100222102122221
42001231002110
532201013134
63212432124
7562001260
oct201550224
970872587
1034001044
1118213540
12b478644
13707617c
1447310a0
152eb95b4
hex206d094

34001044 has 48 divisors (see below), whose sum is σ = 74987136. Its totient is φ = 13104000.

The previous prime is 34001041. The next prime is 34001053. The reversal of 34001044 is 44010043.

Adding to 34001044 its reverse (44010043), we get a palindrome (78011087).

It can be divided in two parts, 3400 and 1044, that added together give a palindrome (4444).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30562 + ... + 31654.

It is an arithmetic number, because the mean of its divisors is an integer number (1562232).

Almost surely, 234001044 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 34001044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37493568).

34001044 is an abundant number, since it is smaller than the sum of its proper divisors (40986092).

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

34001044 is a wasteful number, since it uses less digits than its factorization.

34001044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 34001044 is about 5831.0414164195. The cubic root of 34001044 is about 323.9644959318.

The spelling of 34001044 in words is "thirty-four million, one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 101 154 202 308 404 707 1093 1111 1414 2186 2222 2828 4372 4444 7651 7777 12023 15302 15554 24046 30604 31108 48092 84161 110393 168322 220786 336644 441572 772751 1214323 1545502 2428646 3091004 4857292 8500261 17000522 34001044