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34693376 = 28532557
BaseRepresentation
bin1000010001011…
…0000100000000
32102021121100212
42010112010000
532340142001
63235333252
7600613604
oct204260400
972247325
1034693376
1118646713
12b751228
137259333
144871504
1530a47bb
hex2116100

34693376 has 36 divisors (see below), whose sum is σ = 70585452. Its totient is φ = 17012736.

The previous prime is 34693363. The next prime is 34693381. The reversal of 34693376 is 67339643.

It can be written as a sum of positive squares in 2 ways, for example, as 20070400 + 14622976 = 4480^2 + 3824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12290 + ... + 14846.

It is an arithmetic number, because the mean of its divisors is an integer number (1960707).

Almost surely, 234693376 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 34693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35292726).

34693376 is an abundant number, since it is smaller than the sum of its proper divisors (35892076).

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

34693376 is an equidigital number, since it uses as much as digits as its factorization.

34693376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 2612 counting only the distinct ones).

The product of its digits is 244944, while the sum is 41.

The square root of 34693376 is about 5890.1083181891. The cubic root of 34693376 is about 326.1486017541.

The spelling of 34693376 in words is "thirty-four million, six hundred ninety-three thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 2557 3392 5114 6784 10228 13568 20456 40912 81824 135521 163648 271042 327296 542084 654592 1084168 2168336 4336672 8673344 17346688 34693376