Search a number
-
+
11304003400 = 2352414332059
BaseRepresentation
bin10101000011100010…
…10110011101001000
31002011210110212111121
422201301112131020
5141122311102100
65105404005024
7550060305064
oct124161263510
932153425447
1011304003400
1148808a7078
122235830774
1310b1bc7711
14793406aa4
154625de51a
hex2a1c56748

11304003400 has 96 divisors (see below), whose sum is σ = 27549799200. Its totient is φ = 4308595200.

The previous prime is 11304003397. The next prime is 11304003421. The reversal of 11304003400 is 430040311.

It is a super-3 number, since 3×113040034003 (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336571 + ... + 368629.

It is an arithmetic number, because the mean of its divisors is an integer number (286977075).

Almost surely, 211304003400 is an apocalyptic number.

11304003400 is a gapful number since it is divisible by the number (10) 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 11304003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13774899600).

11304003400 is an abundant number, since it is smaller than the sum of its proper divisors (16245795800).

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

11304003400 is a wasteful number, since it uses less digits than its factorization.

11304003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32159 (or 32150 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11304003400 its reverse (430040311), we get a palindrome (11734043711).

The spelling of 11304003400 in words is "eleven billion, three hundred four million, three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 43 50 82 86 100 164 172 200 205 215 328 344 410 430 820 860 1025 1075 1640 1720 1763 2050 2150 3526 4100 4300 7052 8200 8600 8815 14104 17630 32059 35260 44075 64118 70520 88150 128236 160295 176300 256472 320590 352600 641180 801475 1282360 1314419 1378537 1602950 2628838 2757074 3205900 5257676 5514148 6411800 6572095 6892685 10515352 11028296 13144190 13785370 26288380 27570740 32860475 34463425 52576760 55141480 56520017 65720950 68926850 113040034 131441900 137853700 226080068 262883800 275707400 282600085 452160136 565200170 1130400340 1413000425 2260800680 2826000850 5652001700 11304003400