Search a number
-
+
3379434320 = 24570959581
BaseRepresentation
bin1100100101101110…
…0001001101010000
322201112000001101002
43021123201031100
523410113344240
61315201001132
7146513501123
oct31133411520
98645001332
103379434320
11148466a029
127a39231a8
1341b1a50a2
14240b763ba
1514ba43d15
hexc96e1350

3379434320 has 40 divisors (see below), whose sum is σ = 7868398920. Its totient is φ = 1349844480.

The previous prime is 3379434287. The next prime is 3379434323. The reversal of 3379434320 is 234349733.

It can be written as a sum of positive squares in 4 ways, for example, as 183115024 + 3196319296 = 13532^2 + 56536^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×33794343202 = 22841152646387724800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3379434323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26930 + ... + 86510.

It is an arithmetic number, because the mean of its divisors is an integer number (196709973).

Almost surely, 23379434320 is an apocalyptic number.

It is an amenable number.

3379434320 is an abundant number, since it is smaller than the sum of its proper divisors (4488964600).

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

3379434320 is a wasteful number, since it uses less digits than its factorization.

3379434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60303 (or 60297 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 38.

The square root of 3379434320 is about 58132.9022155268. The cubic root of 3379434320 is about 1500.6566487959.

The spelling of 3379434320 in words is "three billion, three hundred seventy-nine million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 709 1418 2836 3545 5672 7090 11344 14180 28360 56720 59581 119162 238324 297905 476648 595810 953296 1191620 2383240 4766480 42242929 84485858 168971716 211214645 337943432 422429290 675886864 844858580 1689717160 3379434320