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34299780804 = 2234102892
BaseRepresentation
bin11111111100011011…
…010001111011000100
310021112102002101210000
4133330123101323010
51030221220441204
623431311201300
72322660216642
oct377433217304
9107472071700
1034299780804
1113601371a93
126792b16230
1333081388b3
141935516192
15d5b368039
hex7fc6d1ec4

34299780804 has 45 divisors (see below), whose sum is σ = 89675117917. Its totient is φ = 11432149056.

The previous prime is 34299780797. The next prime is 34299780857. The reversal of 34299780804 is 40808799243.

The square root of 34299780804 is 185202.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 30554340804 + 3745440000 = 174798^2 + 61200^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3328492 + ... + 3338780.

Almost surely, 234299780804 is an apocalyptic number.

34299780804 is the 185202-nd square number.

It is an amenable number.

34299780804 is an abundant number, since it is smaller than the sum of its proper divisors (55375337113).

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

34299780804 is an frugal number, since it uses more digits than its factorization.

34299780804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20594 (or 10294 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

It can be divided in two parts, 342997 and 80804, that added together give a square (423801 = 6512).

The spelling of 34299780804 in words is "thirty-four billion, two hundred ninety-nine million, seven hundred eighty thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 10289 20578 30867 41156 61734 92601 123468 185202 277803 370404 555606 833409 1111212 1666818 3333636 105863521 211727042 317590563 423454084 635181126 952771689 1270362252 1905543378 2858315067 3811086756 5716630134 8574945201 11433260268 17149890402 34299780804