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34453540 = 22511223619
BaseRepresentation
bin1000001101101…
…1100000100100
32101211102101001
42003123200210
532310003130
63230243044
7565564432
oct203334044
971742331
1034453540
11184a2500
12b656484
1371a4114
14480bd52
1530586ca
hex20db824

34453540 has 72 divisors (see below), whose sum is σ = 83119680. Its totient is φ = 11964480.

The previous prime is 34453511. The next prime is 34453541. The reversal of 34453540 is 4535443.

It is a junction number, because it is equal to n+sod(n) for n = 34453499 and 34453508.

It is not an unprimeable number, because it can be changed into a prime (34453541) 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, 55351 + ... + 55969.

It is an arithmetic number, because the mean of its divisors is an integer number (1154440).

Almost surely, 234453540 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 34453540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41559840).

34453540 is an abundant number, since it is smaller than the sum of its proper divisors (48666140).

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

34453540 is a wasteful number, since it uses less digits than its factorization.

34453540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 34453540 is about 5869.7137920004. The cubic root of 34453540 is about 325.3953059664.

Adding to 34453540 its reverse (4535443), we get a palindrome (38988983).

The spelling of 34453540 in words is "thirty-four million, four hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 619 1012 1210 1238 1265 2420 2476 2530 2783 3095 5060 5566 6190 6809 11132 12380 13618 13915 14237 27236 27830 28474 34045 55660 56948 68090 71185 74899 136180 142370 149798 156607 284740 299596 313214 374495 626428 748990 783035 1497980 1566070 1722677 3132140 3445354 6890708 8613385 17226770 34453540