Search a number
-
+
3297679320 = 2335132972893
BaseRepresentation
bin1100010010001110…
…1001011111011000
322111211011110121010
43010203221133120
523223201214240
61303120413520
7144501545265
oct30443513730
98454143533
103297679320
1114424aa311
127804772a0
1340727bc50
14233d7426c
15144795280
hexc48e97d8

3297679320 has 128 divisors (see below), whose sum is σ = 11021572800. Its totient is φ = 783734784.

The previous prime is 3297679313. The next prime is 3297679321. The reversal of 3297679320 is 239767923.

3297679320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3297679320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3297679321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8794 + ... + 81686.

Almost surely, 23297679320 is an apocalyptic number.

3297679320 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 3297679320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510786400).

3297679320 is an abundant number, since it is smaller than the sum of its proper divisors (7723893480).

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

3297679320 is a wasteful number, since it uses less digits than its factorization.

3297679320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72949 (or 72945 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 3297679320 is about 57425.4239862450. The cubic root of 3297679320 is about 1488.4564770457.

The spelling of 3297679320 in words is "three billion, two hundred ninety-seven million, six hundred seventy-nine thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 29 30 39 40 52 58 60 65 78 87 104 116 120 130 145 156 174 195 232 260 290 312 348 377 390 435 520 580 696 754 780 870 1131 1160 1508 1560 1740 1885 2262 3016 3480 3770 4524 5655 7540 9048 11310 15080 22620 45240 72893 145786 218679 291572 364465 437358 583144 728930 874716 947609 1093395 1457860 1749432 1895218 2113897 2186790 2842827 2915720 3790436 4227794 4373580 4738045 5685654 6341691 7580872 8455588 8747160 9476090 10569485 11371308 12683382 14214135 16911176 18952180 21138970 22742616 25366764 27480661 28428270 31708455 37904360 42277940 50733528 54961322 56856540 63416910 82441983 84555880 109922644 113713080 126833820 137403305 164883966 219845288 253667640 274806610 329767932 412209915 549613220 659535864 824419830 1099226440 1648839660 3297679320