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34374072 = 23341181193
BaseRepresentation
bin1000001100100…
…0000110111000
32101200101100210
42003020012320
532244432242
63224431120
7565113645
oct203100670
971611323
1034374072
1118448827
12b6184a0
137176bb5
1447cadcc
15303ed9c
hex20c81b8

34374072 has 64 divisors (see below), whose sum is σ = 88976160. Its totient is φ = 11059200.

The previous prime is 34374047. The next prime is 34374089. The reversal of 34374072 is 27047343.

It is a super-2 number, since 2×343740722 = 2363153651722368, which contains 22 as substring.

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, 178008 + ... + 178200.

Almost surely, 234374072 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 34374072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44488080).

34374072 is an abundant number, since it is smaller than the sum of its proper divisors (54602088).

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

34374072 is a wasteful number, since it uses less digits than its factorization.

34374072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 30.

The square root of 34374072 is about 5862.9405591392. The cubic root of 34374072 is about 325.1449357499.

The spelling of 34374072 in words is "thirty-four million, three hundred seventy-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 181 193 246 328 362 386 492 543 579 724 772 984 1086 1158 1448 1544 2172 2316 4344 4632 7421 7913 14842 15826 22263 23739 29684 31652 34933 44526 47478 59368 63304 69866 89052 94956 104799 139732 178104 189912 209598 279464 419196 838392 1432253 2864506 4296759 5729012 8593518 11458024 17187036 34374072