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3342314000 = 245323113643
BaseRepresentation
bin1100011100110111…
…1010101000010000
322121221011010212102
43013031322220100
523321113022000
61311353215532
7145553125454
oct30715725020
98557133772
103342314000
111465715a83
127934015a8
134135a91bc
14239c72664
151486603d5
hexc737aa10

3342314000 has 160 divisors (see below), whose sum is σ = 8520954624. Its totient is φ = 1265510400.

The previous prime is 3342313999. The next prime is 3342314021. The reversal of 3342314000 is 4132433.

It is a super-2 number, since 2×33423140002 = 22342125749192000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5197679 + ... + 5198321.

Almost surely, 23342314000 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 3342314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260477312).

3342314000 is an abundant number, since it is smaller than the sum of its proper divisors (5178640624).

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

3342314000 is a wasteful number, since it uses less digits than its factorization.

3342314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 3342314000 is about 57812.7494589213. The cubic root of 3342314000 is about 1495.1419126069.

Adding to 3342314000 its reverse (4132433), we get a palindrome (3346446433).

The spelling of 3342314000 in words is "three billion, three hundred forty-two million, three hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 113 115 125 184 200 226 230 250 368 400 452 460 500 565 575 643 904 920 1000 1130 1150 1286 1808 1840 2000 2260 2300 2572 2599 2825 2875 3215 4520 4600 5144 5198 5650 5750 6430 9040 9200 10288 10396 11300 11500 12860 12995 14125 14789 16075 20792 22600 23000 25720 25990 28250 29578 32150 41584 45200 46000 51440 51980 56500 59156 64300 64975 72659 73945 80375 103960 113000 118312 128600 129950 145318 147890 160750 207920 226000 236624 257200 259900 290636 295780 321500 324875 363295 369725 519800 581272 591560 643000 649750 726590 739450 1039600 1162544 1183120 1286000 1299500 1453180 1478900 1671157 1816475 1848625 2599000 2906360 2957800 3342314 3632950 3697250 5198000 5812720 5915600 6684628 7265900 7394500 8355785 9082375 13369256 14531800 14789000 16711570 18164750 26738512 29063600 29578000 33423140 36329500 41778925 66846280 72659000 83557850 133692560 145318000 167115700 208894625 334231400 417789250 668462800 835578500 1671157000 3342314000