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34480352 = 2517241263
BaseRepresentation
bin1000001110001…
…0000011100000
32101212210011002
42003202003200
532311332402
63231011132
7566035544
oct203420340
971783132
1034480352
1118510665
12b669aa8
1371b339a
144817a24
153061602
hex20e20e0

34480352 has 48 divisors (see below), whose sum is σ = 72448992. Its totient is φ = 16097280.

The previous prime is 34480343. The next prime is 34480357. The reversal of 34480352 is 25308443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34480357) 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, 130973 + ... + 131235.

It is an arithmetic number, because the mean of its divisors is an integer number (1509354).

Almost surely, 234480352 is an apocalyptic number.

34480352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34480352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36224496).

34480352 is an abundant number, since it is smaller than the sum of its proper divisors (37968640).

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

34480352 is a wasteful number, since it uses less digits than its factorization.

34480352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 34480352 is about 5871.9972752037. The cubic root of 34480352 is about 325.4796924258.

Adding to 34480352 its reverse (25308443), we get a palindrome (59788795).

The spelling of 34480352 in words is "thirty-four million, four hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 241 263 272 482 526 544 964 1052 1928 2104 3856 4097 4208 4471 7712 8194 8416 8942 16388 17884 32776 35768 63383 65552 71536 126766 131104 143072 253532 507064 1014128 1077511 2028256 2155022 4310044 8620088 17240176 34480352