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3434972030 = 257223304789
BaseRepresentation
bin1100110010111101…
…1000001101111110
322212101111122210022
43030233120031332
524013323101110
61324503212142
7151056531500
oct31457301576
98771448708
103434972030
111502a52366
127ba447052
1342984bc39
142482b1d70
15151864755
hexccbd837e

3434972030 has 48 divisors (see below), whose sum is σ = 7505148960. Its totient is φ = 1126496448.

The previous prime is 3434972027. The next prime is 3434972033. The reversal of 3434972030 is 302794343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3434972027) and next prime (3434972033).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434972033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141125 + ... + 163664.

It is an arithmetic number, because the mean of its divisors is an integer number (156357270).

Almost surely, 23434972030 is an apocalyptic number.

3434972030 is an abundant number, since it is smaller than the sum of its proper divisors (4070176930).

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

3434972030 is a wasteful number, since it uses less digits than its factorization.

3434972030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304833 (or 304826 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 35.

The square root of 3434972030 is about 58608.6344321381. The cubic root of 3434972030 is about 1508.8326328306.

The spelling of 3434972030 in words is "three billion, four hundred thirty-four million, nine hundred seventy-two thousand, thirty".

Divisors: 1 2 5 7 10 14 23 35 46 49 70 98 115 161 230 245 322 490 805 1127 1610 2254 5635 11270 304789 609578 1523945 2133523 3047890 4267046 7010147 10667615 14020294 14934661 21335230 29869322 35050735 49071029 70101470 74673305 98142058 149346610 245355145 343497203 490710290 686994406 1717486015 3434972030