Search a number
-
+
2348533980 = 2233513334549
BaseRepresentation
bin1000101111111011…
…1100100011011100
320001200011212222000
42023332330203130
514302211041410
61025013122300
7112125131562
oct21376744334
96050155860
102348533980
11aa5760381
12556629390
132b57391a0
14183ca3a32
15db2abdc0
hex8bfbc8dc

2348533980 has 96 divisors (see below), whose sum is σ = 7868616000. Its totient is φ = 578098944.

The previous prime is 2348533961. The next prime is 2348534017. The reversal of 2348533980 is 893358432.

2348533980 is a `hidden beast` number, since 2 + 34 + 8 + 533 + 9 + 80 = 666.

It is a super-2 number, since 2×23485339802 = 11031223710429280800, which contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160255 + ... + 174294.

It is an arithmetic number, because the mean of its divisors is an integer number (81964750).

Almost surely, 22348533980 is an apocalyptic number.

2348533980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2348533980 is an abundant number, since it is smaller than the sum of its proper divisors (5520082020).

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

2348533980 is a wasteful number, since it uses less digits than its factorization.

2348533980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334580 (or 334572 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2348533980 is about 48461.6753734330. The cubic root of 2348533980 is about 1329.2263727838.

The spelling of 2348533980 in words is "two billion, three hundred forty-eight million, five hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 334549 669098 1003647 1338196 1672745 2007294 3010941 3345490 4014588 4349137 5018235 6021882 6690980 8698274 9032823 10036470 12043764 13047411 15054705 17396548 18065646 20072940 21745685 26094822 30109410 36131292 39142233 43491370 45164115 52189644 60218820 65237055 78284466 86982740 90328230 117426699 130474110 156568932 180656460 195711165 234853398 260948220 391422330 469706796 587133495 782844660 1174266990 2348533980