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2874376368 = 24344747189
BaseRepresentation
bin1010101101010011…
…1000000010110000
321102022122110010000
42223110320002300
521341320020433
61153115510000
7131141540013
oct25324700260
97368573100
102874376368
111245568566
12682758300
1336a66ba26
141d3a6537a
1511c52c113
hexab5380b0

2874376368 has 100 divisors (see below), whose sum is σ = 8496465120. Its totient is φ = 937719936.

The previous prime is 2874376363. The next prime is 2874376399. The reversal of 2874376368 is 8636734782.

It is a super-3 number, since 3×28743763683 (a number of 29 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2874376363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37318 + ... + 84506.

Almost surely, 22874376368 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 2874376368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4248232560).

2874376368 is an abundant number, since it is smaller than the sum of its proper divisors (5622088752).

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

2874376368 is a wasteful number, since it uses less digits than its factorization.

2874376368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47256 (or 47241 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 2874376368 is about 53613.2107600356. The cubic root of 2874376368 is about 1421.8306693633.

It can be divided in two parts, 28743 and 76368, that added together give a triangular number (105111 = T458).

The spelling of 2874376368 in words is "two billion, eight hundred seventy-four million, three hundred seventy-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 564 648 752 846 1128 1269 1296 1692 2256 2538 3384 3807 5076 6768 7614 10152 15228 20304 30456 47189 60912 94378 141567 188756 283134 377512 424701 566268 755024 849402 1132536 1274103 1698804 2217883 2265072 2548206 3397608 3822309 4435766 5096412 6653649 6795216 7644618 8871532 10192824 13307298 15289236 17743064 19960947 20385648 26614596 30578472 35486128 39921894 53229192 59882841 61156944 79843788 106458384 119765682 159687576 179648523 239531364 319375152 359297046 479062728 718594092 958125456 1437188184 2874376368