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34840350 = 23252139557
BaseRepresentation
bin1000010011100…
…1111100011110
32102120001222100
42010321330132
532404342400
63242425530
7602065236
oct204717436
972501870
1034840350
1118737086
12b8022a6
1372ab1bc
1448accc6
1530d3100
hex2139f1e

34840350 has 72 divisors (see below), whose sum is σ = 94447080. Its totient is φ = 9207360.

The previous prime is 34840349. The next prime is 34840387. The reversal of 34840350 is 5304843.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62272 + ... + 62828.

It is an arithmetic number, because the mean of its divisors is an integer number (1311765).

Almost surely, 234840350 is an apocalyptic number.

34840350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34840350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47223540).

34840350 is an abundant number, since it is smaller than the sum of its proper divisors (59606730).

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

34840350 is a wasteful number, since it uses less digits than its factorization.

34840350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 34840350 is about 5902.5714735190. The cubic root of 34840350 is about 326.6085150317.

The spelling of 34840350 in words is "thirty-four million, eight hundred forty thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 139 150 225 278 417 450 557 695 834 1114 1251 1390 1671 2085 2502 2785 3342 3475 4170 5013 5570 6255 6950 8355 10026 10425 12510 13925 16710 20850 25065 27850 31275 41775 50130 62550 77423 83550 125325 154846 232269 250650 387115 464538 696807 774230 1161345 1393614 1935575 2322690 3484035 3871150 5806725 6968070 11613450 17420175 34840350