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34331104 = 2541137191
BaseRepresentation
bin1000001011110…
…1100111100000
32101121012102101
42002331213200
532242043404
63223500144
7564544453
oct202754740
971535371
1034331104
1118419515
12b5b7654
137160482
1447b949a
1530322a4
hex20bd9e0

34331104 has 48 divisors (see below), whose sum is σ = 70108416. Its totient is φ = 16537600.

The previous prime is 34331069. The next prime is 34331107. The reversal of 34331104 is 40113343.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34331107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179649 + ... + 179839.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 234331104 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 34331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35054208).

34331104 is an abundant number, since it is smaller than the sum of its proper divisors (35777312).

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

34331104 is a wasteful number, since it uses less digits than its factorization.

34331104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 34331104 is about 5859.2750404807. The cubic root of 34331104 is about 325.0094009115.

Adding to 34331104 its reverse (40113343), we get a palindrome (74444447).

The spelling of 34331104 in words is "thirty-four million, three hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 16 32 41 82 137 164 191 274 328 382 548 656 764 1096 1312 1528 2192 3056 4384 5617 6112 7831 11234 15662 22468 26167 31324 44936 52334 62648 89872 104668 125296 179744 209336 250592 418672 837344 1072847 2145694 4291388 8582776 17165552 34331104