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34251980 = 225734993
BaseRepresentation
bin1000001010101…
…0010011001100
32101110011212212
42002222103030
532232030410
63222045552
7564065000
oct202522314
971404785
1034251980
1118375024
12b5798b8
137133459
144798700
153018b05
hex20aa4cc

34251980 has 48 divisors (see below), whose sum is σ = 83899200. Its totient is φ = 11741184.

The previous prime is 34251977. The next prime is 34251983. The reversal of 34251980 is 8915243.

It is an interprime number because it is at equal distance from previous prime (34251977) and next prime (34251983).

It is not an unprimeable number, because it can be changed into a prime (34251983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4364 + ... + 9356.

It is an arithmetic number, because the mean of its divisors is an integer number (1747900).

Almost surely, 234251980 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 34251980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41949600).

34251980 is an abundant number, since it is smaller than the sum of its proper divisors (49647220).

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

34251980 is a wasteful number, since it uses less digits than its factorization.

34251980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5023 (or 5007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 34251980 is about 5852.5191157313. The cubic root of 34251980 is about 324.7595223041.

The spelling of 34251980 in words is "thirty-four million, two hundred fifty-one thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 4993 6860 9986 19972 24965 34951 49930 69902 99860 139804 174755 244657 349510 489314 699020 978628 1223285 1712599 2446570 3425198 4893140 6850396 8562995 17125990 34251980