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34457780 = 225735023
BaseRepresentation
bin1000001101110…
…0100010110100
32101211122012002
42003130202310
532310122110
63230314432
7565613000
oct203344264
971748162
1034457780
11184a5705
12b658a18
1371a6026
14480d700
153059aa5
hex20dc8b4

34457780 has 48 divisors (see below), whose sum is σ = 84403200. Its totient is φ = 11811744.

The previous prime is 34457701. The next prime is 34457783. The reversal of 34457780 is 8775443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4349 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (1758400).

Almost surely, 234457780 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 34457780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42201600).

34457780 is an abundant number, since it is smaller than the sum of its proper divisors (49945420).

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

34457780 is a wasteful number, since it uses less digits than its factorization.

34457780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5053 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 34457780 is about 5870.0749569320. The cubic root of 34457780 is about 325.4086535982.

The spelling of 34457780 in words is "thirty-four million, four hundred fifty-seven thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 5023 6860 10046 20092 25115 35161 50230 70322 100460 140644 175805 246127 351610 492254 703220 984508 1230635 1722889 2461270 3445778 4922540 6891556 8614445 17228890 34457780