Search a number
-
+
3331374000 = 24353678287
BaseRepresentation
bin1100011010010000…
…1011101110110000
322121011120100000020
43012210023232300
523310312432000
61310322523440
7145361132433
oct30644135660
98534510006
103331374000
11145a523659
1278b806580
13411248826
1423862581a
151476edba0
hexc690bbb0

3331374000 has 160 divisors (see below), whose sum is σ = 10901968896. Its totient is φ = 875001600.

The previous prime is 3331373993. The next prime is 3331374019. The reversal of 3331374000 is 4731333.

It is a super-2 number, since 2×33313740002 = 22196105455752000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397857 + ... + 406143.

Almost surely, 23331374000 is an apocalyptic number.

3331374000 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 3331374000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450984448).

3331374000 is an abundant number, since it is smaller than the sum of its proper divisors (7570594896).

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

3331374000 is a wasteful number, since it uses less digits than its factorization.

3331374000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8380 (or 8364 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 3331374000 is about 57718.0561003227. The cubic root of 3331374000 is about 1493.5088392968.

The spelling of 3331374000 in words is "three billion, three hundred thirty-one million, three hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 67 75 80 100 120 125 134 150 200 201 240 250 268 300 335 375 400 402 500 536 600 670 750 804 1000 1005 1072 1200 1340 1500 1608 1675 2000 2010 2680 3000 3216 3350 4020 5025 5360 6000 6700 8040 8287 8375 10050 13400 16080 16574 16750 20100 24861 25125 26800 33148 33500 40200 41435 49722 50250 66296 67000 80400 82870 99444 100500 124305 132592 134000 165740 198888 201000 207175 248610 331480 397776 402000 414350 497220 555229 621525 662960 828700 994440 1035875 1110458 1243050 1657400 1665687 1988880 2071750 2220916 2486100 2776145 3107625 3314800 3331374 4143500 4441832 4972200 5552290 6215250 6662748 8287000 8328435 8883664 9944400 11104580 12430500 13325496 13880725 16574000 16656870 22209160 24861000 26650992 27761450 33313740 41642175 44418320 49722000 55522900 66627480 69403625 83284350 111045800 133254960 138807250 166568700 208210875 222091600 277614500 333137400 416421750 555229000 666274800 832843500 1110458000 1665687000 3331374000