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34342848 = 2632109547
BaseRepresentation
bin1000001100000…
…0011111000000
32101121210112100
42003000133000
532242432343
63224030400
7564623631
oct203003700
971553470
1034342848
1118427321
12b602400
137165917
1447bd888
1530359d3
hex20c07c0

34342848 has 84 divisors (see below), whose sum is σ = 99522280. Its totient is φ = 11321856.

The previous prime is 34342807. The next prime is 34342883. The reversal of 34342848 is 84824343.

It is a super-2 number, since 2×343428482 = 2358862417502208, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62511 + ... + 63057.

Almost surely, 234342848 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 34342848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49761140).

34342848 is an abundant number, since it is smaller than the sum of its proper divisors (65179432).

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

34342848 is a wasteful number, since it uses less digits than its factorization.

34342848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 661 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 34342848 is about 5860.2771265530. The cubic root of 34342848 is about 325.0464564754.

The spelling of 34342848 in words is "thirty-four million, three hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 547 576 654 872 981 1094 1308 1641 1744 1962 2188 2616 3282 3488 3924 4376 4923 5232 6564 6976 7848 8752 9846 10464 13128 15696 17504 19692 20928 26256 31392 35008 39384 52512 59623 62784 78768 105024 119246 157536 178869 238492 315072 357738 476984 536607 715476 953968 1073214 1430952 1907936 2146428 2861904 3815872 4292856 5723808 8585712 11447616 17171424 34342848