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34980372 = 223271271093
BaseRepresentation
bin1000010101110…
…0001000010100
32102211012001100
42011130020110
532423332442
63245430100
7603220410
oct205341024
972735040
1034980372
11188222a9
12b86b330
137329b5b
144907d40
15310e84c
hex215c214

34980372 has 72 divisors (see below), whose sum is σ = 101943296. Its totient is φ = 9906624.

The previous prime is 34980367. The next prime is 34980377. The reversal of 34980372 is 27308943.

It is an interprime number because it is at equal distance from previous prime (34980367) and next prime (34980377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34980377) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31458 + ... + 32550.

Almost surely, 234980372 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 34980372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50971648).

34980372 is an abundant number, since it is smaller than the sum of its proper divisors (66962924).

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

34980372 is a wasteful number, since it uses less digits than its factorization.

34980372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 34980372 is about 5914.4206816898. The cubic root of 34980372 is about 327.0454724520.

The spelling of 34980372 in words is "thirty-four million, nine hundred eighty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 127 252 254 381 508 762 889 1093 1143 1524 1778 2186 2286 2667 3279 3556 4372 4572 5334 6558 7651 8001 9837 10668 13116 15302 16002 19674 22953 30604 32004 39348 45906 68859 91812 137718 138811 275436 277622 416433 555244 832866 971677 1249299 1665732 1943354 2498598 2915031 3886708 4997196 5830062 8745093 11660124 17490186 34980372