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2334002000 = 245311277383
BaseRepresentation
bin1000101100011110…
…0000101101010000
320000122211120211112
42023013200231100
514240001031000
61023333432452
7111560455361
oct21307405520
96018746745
102334002000
11a98535280
1255179b728
132b271b895
14181d9db68
15d9d8b235
hex8b1e0b50

2334002000 has 160 divisors (see below), whose sum is σ = 6195032064. Its totient is φ = 843456000.

The previous prime is 2334001987. The next prime is 2334002051. The reversal of 2334002000 is 2004332.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6093809 + ... + 6094191.

Almost surely, 22334002000 is an apocalyptic number.

2334002000 is a gapful number since it is divisible by the number (20) 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 2334002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097516032).

2334002000 is an abundant number, since it is smaller than the sum of its proper divisors (3861030064).

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

2334002000 is a wasteful number, since it uses less digits than its factorization.

2334002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2334002000 is about 48311.5100157302. The cubic root of 2334002000 is about 1326.4790887656.

Adding to 2334002000 its reverse (2004332), we get a palindrome (2336006332).

The spelling of 2334002000 in words is "two billion, three hundred thirty-four million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 277 383 400 440 500 550 554 766 880 1000 1100 1108 1375 1385 1532 1915 2000 2200 2216 2750 2770 3047 3064 3830 4213 4400 4432 5500 5540 6094 6128 6925 7660 8426 9575 11000 11080 12188 13850 15235 15320 16852 19150 21065 22000 22160 24376 27700 30470 30640 33704 34625 38300 42130 47875 48752 55400 60940 67408 69250 76175 76600 84260 95750 105325 106091 110800 121880 138500 152350 153200 168520 191500 210650 212182 243760 277000 304700 337040 380875 383000 421300 424364 526625 530455 554000 609400 761750 766000 842600 848728 1053250 1060910 1167001 1218800 1523500 1685200 1697456 2106500 2121820 2334002 2652275 3047000 4213000 4243640 4668004 5304550 5835005 6094000 8426000 8487280 9336008 10609100 11670010 13261375 18672016 21218200 23340020 26522750 29175025 42436400 46680040 53045500 58350050 93360080 106091000 116700100 145875125 212182000 233400200 291750250 466800400 583500500 1167001000 2334002000