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1330543452 = 2237283137199
BaseRepresentation
bin100111101001110…
…0111101101011100
310102201122121111010
41033103213231130
510211104342302
6340010055220
744654301300
oct11723475534
93381577433
101330543452
11623069a97
1231171a510
13182870424
14c89d1d00
157bc2516c
hex4f4e7b5c

1330543452 has 144 divisors (see below), whose sum is σ = 3700166400. Its totient is φ = 370960128.

The previous prime is 1330543447. The next prime is 1330543469. The reversal of 1330543452 is 2543450331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6686049 + ... + 6686247.

It is an arithmetic number, because the mean of its divisors is an integer number (25695600).

Almost surely, 21330543452 is an apocalyptic number.

1330543452 is a gapful number since it is divisible by the number (12) 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 1330543452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850083200).

1330543452 is an abundant number, since it is smaller than the sum of its proper divisors (2369622948).

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

1330543452 is a wasteful number, since it uses less digits than its factorization.

1330543452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 1330543452 is about 36476.6151390175. The cubic root of 1330543452 is about 1099.8742148181.

Adding to 1330543452 its reverse (2543450331), we get a palindrome (3873993783).

The spelling of 1330543452 in words is "one billion, three hundred thirty million, five hundred forty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 83 84 98 137 147 166 196 199 249 274 294 332 398 411 498 548 581 588 597 796 822 959 996 1162 1194 1393 1644 1743 1918 2324 2388 2786 2877 3486 3836 4067 4179 5572 5754 6713 6972 8134 8358 9751 11371 11508 12201 13426 16268 16517 16716 19502 20139 22742 24402 26852 27263 29253 33034 34113 39004 40278 45484 48804 49551 54526 58506 66068 68226 79597 80556 81789 99102 109052 115619 117012 136452 159194 163578 190841 198204 231238 238791 318388 327156 346857 381682 462476 477582 557179 572523 693714 763364 809333 955164 1114358 1145046 1335887 1387428 1618666 1671537 2228716 2262829 2290092 2427999 2671774 3237332 3343074 4007661 4525658 4855998 5343548 6686148 6788487 8015322 9051316 9711996 13576974 15839803 16030644 27153948 31679606 47519409 63359212 95038818 110878621 190077636 221757242 332635863 443514484 665271726 1330543452