Search a number
-
+
3318863080 = 2351317419157
BaseRepresentation
bin1100010111010001…
…1101010011101000
322120022000201020211
43011310131103220
523244112104310
61305154430504
7145146604441
oct30564352350
98508021224
103318863080
111453458a55
12787592434
1340b788110
14236aca2c8
1514657bc8a
hexc5d1d4e8

3318863080 has 128 divisors (see below), whose sum is σ = 8723544480. Its totient is φ = 1125089280.

The previous prime is 3318863071. The next prime is 3318863081. The reversal of 3318863080 is 803688133.

3318863080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 150749284 + 3168113796 = 12278^2 + 56286^2 .

It is a super-2 number, since 2×33188630802 = 22029704287574172800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3318863081) 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, 357862 + ... + 367018.

Almost surely, 23318863080 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 3318863080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361772240).

3318863080 is an abundant number, since it is smaller than the sum of its proper divisors (5404681400).

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

3318863080 is a wasteful number, since it uses less digits than its factorization.

3318863080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9239 (or 9235 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 3318863080 is about 57609.5745514580. The cubic root of 3318863080 is about 1491.6368780433.

The spelling of 3318863080 in words is "three billion, three hundred eighteen million, eight hundred sixty-three thousand, eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 41 52 65 68 82 85 104 130 136 164 170 205 221 260 328 340 410 442 520 533 680 697 820 884 1066 1105 1394 1640 1768 2132 2210 2665 2788 3485 4264 4420 5330 5576 6970 8840 9061 9157 10660 13940 18122 18314 21320 27880 36244 36628 45305 45785 72488 73256 90610 91570 119041 155669 181220 183140 238082 311338 362440 366280 375437 476164 595205 622676 750874 778345 952328 1190410 1245352 1501748 1556690 1877185 2023697 2380820 3003496 3113380 3754370 4047394 4761640 4880681 6226760 6382429 7508740 8094788 9761362 10118485 12764858 15017480 16189576 19522724 20236970 24403405 25529716 31912145 39045448 40473940 48806810 51059432 63824290 80947880 82971577 97613620 127648580 165943154 195227240 255297160 331886308 414857885 663772616 829715770 1659431540 3318863080