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34397980 = 22519131691
BaseRepresentation
bin1000001100110…
…1111100011100
32101201121011021
42003031330130
532301213410
63225133524
7565243441
oct203157434
971647137
1034397980
1118464791
12b62a2a4
137184a46
1447d59c8
153046eda
hex20cdf1c

34397980 has 48 divisors (see below), whose sum is σ = 76728960. Its totient is φ = 12916800.

The previous prime is 34397977. The next prime is 34397981. The reversal of 34397980 is 8979343.

34397980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34397981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49435 + ... + 50125.

It is an arithmetic number, because the mean of its divisors is an integer number (1598520).

Almost surely, 234397980 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 34397980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38364480).

34397980 is an abundant number, since it is smaller than the sum of its proper divisors (42330980).

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

34397980 is a wasteful number, since it uses less digits than its factorization.

34397980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 34397980 is about 5864.9791133473. The cubic root of 34397980 is about 325.2203003404.

The spelling of 34397980 in words is "thirty-four million, three hundred ninety-seven thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 131 190 262 380 524 655 691 1310 1382 2489 2620 2764 3455 4978 6910 9956 12445 13129 13820 24890 26258 49780 52516 65645 90521 131290 181042 262580 362084 452605 905210 1719899 1810420 3439798 6879596 8599495 17198990 34397980