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34948956 = 223741213
BaseRepresentation
bin1000010101010…
…0011101011100
32102202120221210
42011110131130
532421331311
63245024420
7603030000
oct205243534
972676853
1034948956
1118800739
12b855110
137318773
1448da700
1531053a6
hex215475c

34948956 has 60 divisors (see below), whose sum is σ = 95211592. Its totient is φ = 9977184.

The previous prime is 34948951. The next prime is 34948987. The reversal of 34948956 is 65984943.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34948951) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28206 + ... + 29418.

Almost surely, 234948956 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 34948956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47605796).

34948956 is an abundant number, since it is smaller than the sum of its proper divisors (60262636).

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

34948956 is a wasteful number, since it uses less digits than its factorization.

34948956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248 (or 1225 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The square root of 34948956 is about 5911.7642036874. The cubic root of 34948956 is about 326.9475362156.

The spelling of 34948956 in words is "thirty-four million, nine hundred forty-eight thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1213 1372 2058 2401 2426 3639 4116 4802 4852 7203 7278 8491 9604 14406 14556 16982 25473 28812 33964 50946 59437 101892 118874 178311 237748 356622 416059 713244 832118 1248177 1664236 2496354 2912413 4992708 5824826 8737239 11649652 17474478 34948956