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34689780 = 223254392
BaseRepresentation
bin1000010001010…
…1001011110100
32102021102102200
42010111023310
532340033110
63235304500
7600600246
oct204251364
972242380
1034689780
1118643a44
12b74b130
1372577c8
144870096
1530a36c0
hex21152f4

34689780 has 54 divisors (see below), whose sum is σ = 105465906. Its totient is φ = 9229536.

The previous prime is 34689779. The next prime is 34689791. The reversal of 34689780 is 8798643.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 27751824 + 6937956 = 5268^2 + 2634^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 78801 + ... + 79239.

Almost surely, 234689780 is an apocalyptic number.

34689780 is a gapful number since it is divisible by the number (30) 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 34689780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52732953).

34689780 is an abundant number, since it is smaller than the sum of its proper divisors (70776126).

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

34689780 is a wasteful number, since it uses less digits than its factorization.

34689780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 893 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34689780 is about 5889.8030527344. The cubic root of 34689780 is about 326.1373328316.

Multiplying 34689780 by its sum of digits (45), we get a square (1561040100 = 395102).

34689780 divided by its sum of digits (45) gives a square (770884 = 8782).

The spelling of 34689780 in words is "thirty-four million, six hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 439 878 1317 1756 2195 2634 3951 4390 5268 6585 7902 8780 13170 15804 19755 26340 39510 79020 192721 385442 578163 770884 963605 1156326 1734489 1927210 2312652 2890815 3468978 3854420 5781630 6937956 8672445 11563260 17344890 34689780