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34574946 = 23719371171
BaseRepresentation
bin1000001111100…
…1001001100010
32102001120220120
42003321021202
532322344241
63233021110
7566611410
oct203711142
972046816
1034574946
111857573a
12b6b4796
137217463
1448402b0
15307e666
hex20f9262

34574946 has 64 divisors (see below), whose sum is σ = 85509120. Its totient is φ = 9097920.

The previous prime is 34574933. The next prime is 34575001. The reversal of 34574946 is 64947543.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 34574898 and 34574907.

It is an unprimeable number.

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, 28941 + ... + 30111.

It is an arithmetic number, because the mean of its divisors is an integer number (1336080).

Almost surely, 234574946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34574946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42754560).

34574946 is an abundant number, since it is smaller than the sum of its proper divisors (50934174).

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

34574946 is a wasteful number, since it uses less digits than its factorization.

34574946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239.

The product of its digits is 362880, while the sum is 42.

The square root of 34574946 is about 5880.0464283881. The cubic root of 34574946 is about 325.7770628789. Note that the first 3 decimals are identical.

The spelling of 34574946 in words is "thirty-four million, five hundred seventy-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 57 74 111 114 133 222 259 266 399 518 703 777 798 1171 1406 1554 2109 2342 3513 4218 4921 7026 8197 9842 14763 16394 22249 24591 29526 43327 44498 49182 66747 86654 129981 133494 155743 259962 303289 311486 467229 606578 823213 909867 934458 1646426 1819734 2469639 4939278 5762491 11524982 17287473 34574946