Search a number
-
+
1334545300 = 2252112532081
BaseRepresentation
bin100111110001011…
…1000101110010100
310110000011220222201
41033202320232110
510213120422200
6340231534244
745033306424
oct11742705624
93400156881
101334545300
11625352700
12312b2a384
13183641a9a
14c9354484
157c265c6a
hex4f8b8b94

1334545300 has 108 divisors (see below), whose sum is σ = 3244784508. Its totient is φ = 475904000.

The previous prime is 1334545283. The next prime is 1334545301. The reversal of 1334545300 is 35454331.

It can be written as a sum of positive squares in 6 ways, for example, as 10458756 + 1324086544 = 3234^2 + 36388^2 .

It is a super-2 number, since 2×13345453002 = 3562022315504180000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1334545301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 640260 + ... + 642340.

It is an arithmetic number, because the mean of its divisors is an integer number (30044301).

Almost surely, 21334545300 is an apocalyptic number.

1334545300 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 1334545300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622392254).

1334545300 is an abundant number, since it is smaller than the sum of its proper divisors (1910239208).

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

1334545300 is a wasteful number, since it uses less digits than its factorization.

1334545300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 1334545300 is about 36531.4289345489. The cubic root of 1334545300 is about 1100.9758007860.

Adding to 1334545300 its reverse (35454331), we get a palindrome (1369999631).

The spelling of 1334545300 in words is "one billion, three hundred thirty-four million, five hundred forty-five thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 53 55 100 106 110 121 212 220 242 265 275 484 530 550 583 605 1060 1100 1166 1210 1325 2081 2332 2420 2650 2915 3025 4162 5300 5830 6050 6413 8324 10405 11660 12100 12826 14575 20810 22891 25652 29150 32065 41620 45782 52025 58300 64130 91564 104050 110293 114455 128260 160325 208100 220586 228910 251801 320650 441172 457820 503602 551465 572275 641300 1007204 1102930 1144550 1213223 1259005 2205860 2289100 2426446 2518010 2757325 4852892 5036020 5514650 6066115 6295025 11029300 12132230 12590050 13345453 24264460 25180100 26690906 30330575 53381812 60661150 66727265 121322300 133454530 266909060 333636325 667272650 1334545300