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34374444 = 223131791231
BaseRepresentation
bin1000001100100…
…0001100101100
32101200101212120
42003020030230
532244440234
63224432540
7565115016
oct203101454
971611776
1034374444
1118449035
12b618750
137177110
1447cb1b6
153040049
hex20c832c

34374444 has 48 divisors (see below), whose sum is σ = 86929920. Its totient is φ = 10509120.

The previous prime is 34374433. The next prime is 34374479. The reversal of 34374444 is 44447343.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 27309 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (1811040).

Almost surely, 234374444 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 34374444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43464960).

34374444 is an abundant number, since it is smaller than the sum of its proper divisors (52555476).

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

34374444 is a wasteful number, since it uses less digits than its factorization.

34374444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1428 counting only the distinct ones).

The product of its digits is 64512, while the sum is 33.

The square root of 34374444 is about 5862.9722837482. The cubic root of 34374444 is about 325.1461086638.

The spelling of 34374444 in words is "thirty-four million, three hundred seventy-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 179 358 537 716 1074 1231 2148 2327 2462 3693 4654 4924 6981 7386 9308 13962 14772 16003 27924 32006 48009 64012 96018 192036 220349 440698 661047 881396 1322094 2644188 2864537 5729074 8593611 11458148 17187222 34374444