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34950528 = 27343371
BaseRepresentation
bin1000010101010…
…0110110000000
32102202200010000
42011110312000
532421404103
63245040000
7603034404
oct205246600
972680100
1034950528
1118801938
12b856000
1373193b2
1448db104
153105aa3
hex2154d80

34950528 has 80 divisors (see below), whose sum is σ = 104043060. Its totient is φ = 11646720.

The previous prime is 34950497. The next prime is 34950551. The reversal of 34950528 is 82505943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34950492 and 34950501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8683 + ... + 12053.

Almost surely, 234950528 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 34950528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52021530).

34950528 is an abundant number, since it is smaller than the sum of its proper divisors (69092532).

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

34950528 is an equidigital number, since it uses as much as digits as its factorization.

34950528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 34950528 is about 5911.8971574276. The cubic root of 34950528 is about 326.9524381629.

The spelling of 34950528 in words is "thirty-four million, nine hundred fifty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3371 3456 5184 6742 10113 10368 13484 20226 26968 30339 40452 53936 60678 80904 91017 107872 121356 161808 182034 215744 242712 273051 323616 364068 431488 485424 546102 647232 728136 970848 1092204 1294464 1456272 1941696 2184408 2912544 3883392 4368816 5825088 8737632 11650176 17475264 34950528