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3023232240 = 243572378241
BaseRepresentation
bin1011010000110010…
…1101110011110000
321210200202002222110
42310030231303300
522142421412430
61215554205320
7134630023110
oct26414556360
97720662873
103023232240
111311599146
12704583840
13392459c22
14209733040
1512a6327b0
hexb432dcf0

3023232240 has 160 divisors (see below), whose sum is σ = 11176713216. Its totient is φ = 660971520.

The previous prime is 3023232239. The next prime is 3023232241. The reversal of 3023232240 is 422323203.

3023232240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3023232239) and next prime (3023232241).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3023232241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 481 + ... + 77760.

Almost surely, 23023232240 is an apocalyptic number.

3023232240 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 3023232240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5588356608).

3023232240 is an abundant number, since it is smaller than the sum of its proper divisors (8153480976).

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

3023232240 is a wasteful number, since it uses less digits than its factorization.

3023232240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78287 (or 78281 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 21.

The square root of 3023232240 is about 54983.9271060189. The cubic root of 3023232240 is about 1445.9629664783.

Adding to 3023232240 its reverse (422323203), we get a palindrome (3445555443).

The spelling of 3023232240 in words is "three billion, twenty-three million, two hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 35 40 42 46 48 56 60 69 70 80 84 92 105 112 115 120 138 140 161 168 184 210 230 240 276 280 322 336 345 368 420 460 483 552 560 644 690 805 840 920 966 1104 1288 1380 1610 1680 1840 1932 2415 2576 2760 3220 3864 4830 5520 6440 7728 9660 12880 19320 38640 78241 156482 234723 312964 391205 469446 547687 625928 782410 938892 1095374 1173615 1251856 1564820 1643061 1799543 1877784 2190748 2347230 2738435 3129640 3286122 3599086 3755568 4381496 4694460 5398629 5476870 6259280 6572244 7198172 8215305 8762992 8997715 9388920 10797258 10953740 12596801 13144488 14396344 16430610 17995430 18777840 21594516 21907480 25193602 26288976 26993145 28792688 32861220 35990860 37790403 43189032 43814960 50387204 53986290 62984005 65722440 71981720 75580806 86378064 100774408 107972580 125968010 131444880 143963440 151161612 188952015 201548816 215945160 251936020 302323224 377904030 431890320 503872040 604646448 755808060 1007744080 1511616120 3023232240