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34470920 = 23511157499
BaseRepresentation
bin1000001101111…
…1110000001000
32101212022012202
42003133300020
532311032140
63230455332
7565666211
oct203376010
971768182
1034470920
1118504570
12b664548
1371abcc3
144814408
15305d915
hex20dfc08

34470920 has 64 divisors (see below), whose sum is σ = 85320000. Its totient is φ = 12430080.

The previous prime is 34470913. The next prime is 34470941. The reversal of 34470920 is 2907443.

It is an unprimeable number.

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, 68831 + ... + 69329.

It is an arithmetic number, because the mean of its divisors is an integer number (1333125).

Almost surely, 234470920 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 34470920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42660000).

34470920 is an abundant number, since it is smaller than the sum of its proper divisors (50849080).

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

34470920 is a wasteful number, since it uses less digits than its factorization.

34470920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 34470920 is about 5871.1940863848. The cubic root of 34470920 is about 325.4500117115.

The spelling of 34470920 in words is "thirty-four million, four hundred seventy thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 499 628 785 998 1256 1570 1727 1996 2495 3140 3454 3992 4990 5489 6280 6908 8635 9980 10978 13816 17270 19960 21956 27445 34540 43912 54890 69080 78343 109780 156686 219560 313372 391715 626744 783430 861773 1566860 1723546 3133720 3447092 4308865 6894184 8617730 17235460 34470920