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3042767100 = 22352175311257
BaseRepresentation
bin1011010101011100…
…1111000011111100
321212001111120202210
42311113033003330
522212422021400
61221533020420
7135255044052
oct26527170374
97761446683
103042767100
111321620a5a
1270b024710
13396509709
1420c17a1d2
1512c1e0950
hexb55cf0fc

3042767100 has 144 divisors (see below), whose sum is σ = 9498329568. Its totient is φ = 749199360.

The previous prime is 3042767089. The next prime is 3042767111. The reversal of 3042767100 is 17672403.

It is an interprime number because it is at equal distance from previous prime (3042767089) and next prime (3042767111).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 264672 + ... + 275928.

It is an arithmetic number, because the mean of its divisors is an integer number (65960622).

Almost surely, 23042767100 is an apocalyptic number.

3042767100 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 3042767100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749164784).

3042767100 is an abundant number, since it is smaller than the sum of its proper divisors (6455562468).

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

3042767100 is a wasteful number, since it uses less digits than its factorization.

3042767100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11337 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 3042767100 is about 55161.2826174301. The cubic root of 3042767100 is about 1449.0706847445.

The spelling of 3042767100 in words is "three billion, forty-two million, seven hundred sixty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 53 60 68 75 85 100 102 106 150 159 170 204 212 255 265 300 318 340 425 510 530 636 795 850 901 1020 1060 1275 1325 1590 1700 1802 2550 2650 2703 3180 3604 3975 4505 5100 5300 5406 7950 9010 10812 11257 13515 15900 18020 22514 22525 27030 33771 45028 45050 54060 56285 67542 67575 90100 112570 135084 135150 168855 191369 225140 270300 281425 337710 382738 562850 574107 596621 675420 765476 844275 956845 1125700 1148214 1193242 1688550 1789863 1913690 2296428 2386484 2870535 2983105 3377100 3579726 3827380 4784225 5741070 5966210 7159452 8949315 9568450 10142557 11482140 11932420 14352675 14915525 17898630 19136900 20285114 28705350 29831050 30427671 35797260 40570228 44746575 50712785 57410700 59662100 60855342 89493150 101425570 121710684 152138355 178986300 202851140 253563925 304276710 507127850 608553420 760691775 1014255700 1521383550 3042767100