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34473714 = 23111937743
BaseRepresentation
bin1000001110000…
…0011011110010
32101212110001020
42003200123302
532311124324
63230520310
7566010312
oct203403362
971773036
1034473714
1118506680
12b666096
1371b0362
144815442
15305e679
hex20e06f2

34473714 has 64 divisors (see below), whose sum is σ = 81423360. Its totient is φ = 9616320.

The previous prime is 34473713. The next prime is 34473727. The reversal of 34473714 is 41737443.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (34473713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46027 + ... + 46769.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 234473714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34473714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40711680).

34473714 is an abundant number, since it is smaller than the sum of its proper divisors (46949646).

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

34473714 is a wasteful number, since it uses less digits than its factorization.

34473714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815.

The product of its digits is 28224, while the sum is 33.

The square root of 34473714 is about 5871.4320229395. The cubic root of 34473714 is about 325.4588044637.

The spelling of 34473714 in words is "thirty-four million, four hundred seventy-three thousand, seven hundred fourteen".

Divisors: 1 2 3 6 11 19 22 33 37 38 57 66 74 111 114 209 222 407 418 627 703 743 814 1221 1254 1406 1486 2109 2229 2442 4218 4458 7733 8173 14117 15466 16346 23199 24519 27491 28234 42351 46398 49038 54982 82473 84702 155287 164946 302401 310574 465861 522329 604802 907203 931722 1044658 1566987 1814406 3133974 5745619 11491238 17236857 34473714