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34456506 = 2372233503
BaseRepresentation
bin1000001101110…
…0001110111010
32101211120102220
42003130032322
532310102011
63230304510
7565606200
oct203341672
971746386
1034456506
11184a4757
12b658136
1371a5586
14480d070
153059506
hex20dc3ba

34456506 has 48 divisors (see below), whose sum is σ = 80668224. Its totient is φ = 9782976.

The previous prime is 34456489. The next prime is 34456517. The reversal of 34456506 is 60565443.

34456506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68251 + ... + 68753.

It is an arithmetic number, because the mean of its divisors is an integer number (1680588).

Almost surely, 234456506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34456506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40334112).

34456506 is an abundant number, since it is smaller than the sum of its proper divisors (46211718).

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

34456506 is a wasteful number, since it uses less digits than its factorization.

34456506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 34456506 is about 5869.9664394271. The cubic root of 34456506 is about 325.4046431277.

The spelling of 34456506 in words is "thirty-four million, four hundred fifty-six thousand, five hundred six".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 233 294 466 503 699 1006 1398 1509 1631 3018 3262 3521 4893 7042 9786 10563 11417 21126 22834 24647 34251 49294 68502 73941 117199 147882 234398 351597 703194 820393 1640786 2461179 4922358 5742751 11485502 17228253 34456506