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2434043000 = 235317672137
BaseRepresentation
bin1001000100010100…
…1000110001111000
320021122002012021202
42101011020301320
514441103334000
61041305553332
7114214011164
oct22105106170
96248065252
102434043000
111039a54594
1257b1a5848
132ca377c3c
141913a1ca4
15e3a4cdd5
hex91148c78

2434043000 has 128 divisors (see below), whose sum is σ = 6123574080. Its totient is φ = 902246400.

The previous prime is 2434042997. The next prime is 2434043033. The reversal of 2434043000 is 3404342.

It is a happy number.

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

It is a congruent number.

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, 1137932 + ... + 1140068.

Almost surely, 22434043000 is an apocalyptic number.

2434043000 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 2434043000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061787040).

2434043000 is an abundant number, since it is smaller than the sum of its proper divisors (3689531080).

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

2434043000 is a wasteful number, since it uses less digits than its factorization.

2434043000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2434043000 is about 49336.0213231671. The cubic root of 2434043000 is about 1345.1666206887.

Adding to 2434043000 its reverse (3404342), we get a palindrome (2437447342).

The spelling of 2434043000 in words is "two billion, four hundred thirty-four million, forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 67 68 85 100 125 134 136 170 200 250 268 335 340 425 500 536 670 680 850 1000 1139 1340 1675 1700 2125 2137 2278 2680 3350 3400 4250 4274 4556 5695 6700 8375 8500 8548 9112 10685 11390 13400 16750 17000 17096 21370 22780 28475 33500 36329 42740 45560 53425 56950 67000 72658 85480 106850 113900 142375 143179 145316 181645 213700 227800 267125 284750 286358 290632 363290 427400 534250 569500 572716 715895 726580 908225 1068500 1139000 1145432 1431790 1453160 1816450 2137000 2434043 2863580 3579475 3632900 4541125 4868086 5727160 7158950 7265800 9082250 9736172 12170215 14317900 17897375 18164500 19472344 24340430 28635800 35794750 36329000 48680860 60851075 71589500 97361720 121702150 143179000 243404300 304255375 486808600 608510750 1217021500 2434043000