Search a number
-
+
34444312 = 2371797373
BaseRepresentation
bin1000001101100…
…1010000011000
32101210221201021
42003121100120
532304204222
63230132224
7565525510
oct203312030
971727637
1034444312
1118496581
12b651074
13719cb66
144808840
153055ac7
hex20d9418

34444312 has 64 divisors (see below), whose sum is σ = 79168320. Its totient is φ = 13713408.

The previous prime is 34444307. The next prime is 34444331. The reversal of 34444312 is 21344443.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92158 + ... + 92530.

It is an arithmetic number, because the mean of its divisors is an integer number (1237005).

Almost surely, 234444312 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 34444312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39584160).

34444312 is an abundant number, since it is smaller than the sum of its proper divisors (44724008).

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

34444312 is a wasteful number, since it uses less digits than its factorization.

34444312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 4608, while the sum is 25.

The square root of 34444312 is about 5868.9276703670. The cubic root of 34444312 is about 325.3662521932.

Adding to 34444312 its reverse (21344443), we get a palindrome (55788755).

The spelling of 34444312 in words is "thirty-four million, four hundred forty-four thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 97 119 136 194 238 373 388 476 679 746 776 952 1358 1492 1649 2611 2716 2984 3298 5222 5432 6341 6596 10444 11543 12682 13192 20888 23086 25364 36181 44387 46172 50728 72362 88774 92344 144724 177548 253267 289448 355096 506534 615077 1013068 1230154 2026136 2460308 4305539 4920616 8611078 17222156 34444312