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3412131000 = 233532834019
BaseRepresentation
bin1100101101100000…
…1111110010111000
322210210112012210020
43023120033302320
523442001143000
61322325450440
7150361430535
oct31330176270
98723465706
103412131000
1114a1071583
127b2870a20
13424bb2635
14245247d8c
1514e851ba0
hexcb60fcb8

3412131000 has 128 divisors (see below), whose sum is σ = 10686124800. Its totient is φ = 906460800.

The previous prime is 3412130999. The next prime is 3412131031. The reversal of 3412131000 is 1312143.

It is a super-2 number, since 2×34121310002 = 23285275922322000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 846991 + ... + 851009.

It is an arithmetic number, because the mean of its divisors is an integer number (83485350).

Almost surely, 23412131000 is an apocalyptic number.

3412131000 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 3412131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343062400).

3412131000 is an abundant number, since it is smaller than the sum of its proper divisors (7273993800).

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

3412131000 is a wasteful number, since it uses less digits than its factorization.

3412131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 4312 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3412131000 is about 58413.4487939207. The cubic root of 3412131000 is about 1505.4808381066.

Adding to 3412131000 its reverse (1312143), we get a palindrome (3413443143).

The spelling of 3412131000 in words is "three billion, four hundred twelve million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 283 300 375 500 566 600 750 849 1000 1132 1415 1500 1698 2264 2830 3000 3396 4019 4245 5660 6792 7075 8038 8490 11320 12057 14150 16076 16980 20095 21225 24114 28300 32152 33960 35375 40190 42450 48228 56600 60285 70750 80380 84900 96456 100475 106125 120570 141500 160760 169800 200950 212250 241140 283000 301425 401900 424500 482280 502375 602850 803800 849000 1004750 1137377 1205700 1507125 2009500 2274754 2411400 3014250 3412131 4019000 4549508 5686885 6028500 6824262 9099016 11373770 12057000 13648524 17060655 22747540 27297048 28434425 34121310 45495080 56868850 68242620 85303275 113737700 136485240 142172125 170606550 227475400 284344250 341213100 426516375 568688500 682426200 853032750 1137377000 1706065500 3412131000