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3034032100 = 22521119179811
BaseRepresentation
bin1011010011010111…
…1010011111100100
321211110001210121021
42310311322133210
522203203011400
61221021500524
7135120563431
oct26465723744
97743053537
103034032100
1113176a5250
12708111744
1339476b888
1420ad44b88
1512b56771a
hexb4d7a7e4

3034032100 has 144 divisors (see below), whose sum is σ = 7612012800. Its totient is φ = 1038096000.

The previous prime is 3034032083. The next prime is 3034032149. The reversal of 3034032100 is 12304303.

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, 3740695 + ... + 3741505.

It is an arithmetic number, because the mean of its divisors is an integer number (52861200).

Almost surely, 23034032100 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 3034032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3806006400).

3034032100 is an abundant number, since it is smaller than the sum of its proper divisors (4577980700).

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

3034032100 is a wasteful number, since it uses less digits than its factorization.

3034032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 3034032100 is about 55082.0487999493. The cubic root of 3034032100 is about 1447.6827195979.

Adding to 3034032100 its reverse (12304303), we get a palindrome (3046336403).

It can be divided in two parts, 303403 and 2100, that added together give a palindrome (305503).

The spelling of 3034032100 in words is "three billion, thirty-four million, thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 179 190 209 220 275 358 380 418 475 550 716 811 836 895 950 1045 1100 1622 1790 1900 1969 2090 3244 3401 3580 3938 4055 4180 4475 5225 6802 7876 8110 8921 8950 9845 10450 13604 15409 16220 17005 17842 17900 19690 20275 20900 30818 34010 35684 37411 39380 40550 44605 49225 61636 68020 74822 77045 81100 85025 89210 98450 145169 149644 154090 169499 170050 178420 187055 196900 223025 290338 308180 338998 340100 374110 385225 446050 580676 677996 725845 748220 770450 847495 892100 935275 1451690 1540900 1596859 1694990 1870550 2758211 2903380 3193718 3389980 3629225 3741100 4237475 5516422 6387436 7258450 7984295 8474950 11032844 13791055 14516900 15968590 16949900 27582110 30340321 31937180 39921475 55164220 60680642 68955275 79842950 121361284 137910550 151701605 159685900 275821100 303403210 606806420 758508025 1517016050 3034032100