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34425248 = 2511137523
BaseRepresentation
bin1000001101010…
…0100110100000
32101202222120012
42003110212200
532303101443
63225504052
7565416104
oct203244640
971688505
1034425248
1118483220
12b642028
137194290
144801904
153050118
hex20d49a0

34425248 has 48 divisors (see below), whose sum is σ = 79634016. Its totient is φ = 14442240.

The previous prime is 34425247. The next prime is 34425253. The reversal of 34425248 is 84252443.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34425247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815 + ... + 8337.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042).

Almost surely, 234425248 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 34425248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39817008).

34425248 is an abundant number, since it is smaller than the sum of its proper divisors (45208768).

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

34425248 is a wasteful number, since it uses less digits than its factorization.

34425248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7557 (or 7549 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 34425248 is about 5867.3032987907. The cubic root of 34425248 is about 325.3062139597.

The spelling of 34425248 in words is "thirty-four million, four hundred twenty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 7523 15046 30092 60184 82753 97799 120368 165506 195598 240736 331012 391196 662024 782392 1075789 1324048 1564784 2151578 2648096 3129568 4303156 8606312 17212624 34425248