Search a number
-
+
34363200036 = 223111740937441
BaseRepresentation
bin100000000000001101…
…001101001000100100
310021200211102102121110
4200000031031020210
51030333434400121
623441454345020
72324360244444
oct400015151044
9107624372543
1034363200036
1113634148880
1267b01bb170
133318311c79
14193db04124
15d61be3d76
hex80034d224

34363200036 has 96 divisors (see below), whose sum is σ = 92844178560. Its totient is φ = 9776332800.

The previous prime is 34363200031. The next prime is 34363200049. The reversal of 34363200036 is 63000236343.

It is a junction number, because it is equal to n+sod(n) for n = 34363199976 and 34363200012.

It is not an unprimeable number, because it can be changed into a prime (34363200031) 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, 899076 + ... + 936516.

It is an arithmetic number, because the mean of its divisors is an integer number (967126860).

Almost surely, 234363200036 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 34363200036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46422089280).

34363200036 is an abundant number, since it is smaller than the sum of its proper divisors (58480978524).

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

34363200036 is a wasteful number, since it uses less digits than its factorization.

34363200036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37885 (or 37883 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 34363200036 its reverse (63000236343), we get a palindrome (97363436379).

The spelling of 34363200036 in words is "thirty-four billion, three hundred sixty-three million, two hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 409 561 748 818 1122 1227 1636 2244 2454 4499 4908 6953 8998 13497 13906 17996 20859 26994 27812 37441 41718 53988 74882 76483 83436 112323 149764 152966 224646 229449 305932 411851 449292 458898 636497 823702 917796 1235553 1272994 1647404 1909491 2471106 2545988 3818982 4942212 7001467 7637964 14002934 15313369 21004401 28005868 30626738 42008802 45940107 61253476 84017604 91880214 168447059 183760428 260327273 336894118 505341177 520654546 673788236 780981819 1010682354 1041309092 1561963638 2021364708 2863600003 3123927276 5727200006 8590800009 11454400012 17181600018 34363200036