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34150914 = 23271312069
BaseRepresentation
bin1000001001000…
…1101000000010
32101021001020200
42002101220002
532220312124
63215550030
7563164230
oct202215002
971231220
1034150914
11183060a6
12b52b316
1370c9455
14476d950
152ee8bc9
hex2091a02

34150914 has 48 divisors (see below), whose sum is σ = 85250880. Its totient is φ = 9678240.

The previous prime is 34150913. The next prime is 34150927. The reversal of 34150914 is 41905143.

It is not an unprimeable number, because it can be changed into a prime (34150913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15472 + ... + 17540.

It is an arithmetic number, because the mean of its divisors is an integer number (1776060).

Almost surely, 234150914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34150914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42625440).

34150914 is an abundant number, since it is smaller than the sum of its proper divisors (51099966).

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

34150914 is a wasteful number, since it uses less digits than its factorization.

34150914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 34150914 is about 5843.8783354892. The cubic root of 34150914 is about 324.4397891456.

The spelling of 34150914 in words is "thirty-four million, one hundred fifty thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 131 262 393 786 917 1179 1834 2069 2358 2751 4138 5502 6207 8253 12414 14483 16506 18621 28966 37242 43449 86898 130347 260694 271039 542078 813117 1626234 1897273 2439351 3794546 4878702 5691819 11383638 17075457 34150914