Search a number
-
+
30706734000 = 2435317928591
BaseRepresentation
bin11100100110010000…
…111001001110110000
32221021000010201011110
4130212100321032300
51000341410442000
622034555513320
72134640634555
oct344620711660
987230121143
1030706734000
1112028172818
125b4b758840
132b849215b7
1416b4256a2c
15beabcb850
hex7264393b0

30706734000 has 160 divisors (see below), whose sum is σ = 99555056640. Its totient is φ = 8142432000.

The previous prime is 30706733977. The next prime is 30706734059. The reversal of 30706734000 is 43760703.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1059705 + ... + 1088295.

It is an arithmetic number, because the mean of its divisors is an integer number (622219104).

Almost surely, 230706734000 is an apocalyptic number.

30706734000 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 30706734000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49777528320).

30706734000 is an abundant number, since it is smaller than the sum of its proper divisors (68848322640).

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

30706734000 is a wasteful number, since it uses less digits than its factorization.

30706734000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28796 (or 28780 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The spelling of 30706734000 in words is "thirty billion, seven hundred six million, seven hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 179 200 240 250 300 358 375 400 500 537 600 716 750 895 1000 1074 1200 1432 1500 1790 2000 2148 2685 2864 3000 3580 4296 4475 5370 6000 7160 8592 8950 10740 13425 14320 17900 21480 22375 26850 28591 35800 42960 44750 53700 57182 67125 71600 85773 89500 107400 114364 134250 142955 171546 179000 214800 228728 268500 285910 343092 358000 428865 457456 537000 571820 686184 714775 857730 1074000 1143640 1372368 1429550 1715460 2144325 2287280 2859100 3430920 3573875 4288650 5117789 5718200 6861840 7147750 8577300 10235578 10721625 11436400 14295500 15353367 17154600 20471156 21443250 25588945 28591000 30706734 34309200 40942312 42886500 51177890 57182000 61413468 76766835 81884624 85773000 102355780 122826936 127944725 153533670 171546000 204711560 245653872 255889450 307067340 383834175 409423120 511778900 614134680 639723625 767668350 1023557800 1228269360 1279447250 1535336700 1919170875 2047115600 2558894500 3070673400 3838341750 5117789000 6141346800 7676683500 10235578000 15353367000 30706734000