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1330415340 = 2235193373463
BaseRepresentation
bin100111101001100…
…1000011011101100
310102201102002202020
41033103020123230
510211041242330
6340003230140
744653225632
oct11723103354
93381362666
101330415340
11622a91811
12311678350
13182827017
14c899b352
157bbec210
hex4f4c86ec

1330415340 has 96 divisors (see below), whose sum is σ = 3933995520. Its totient is φ = 335010816.

The previous prime is 1330415299. The next prime is 1330415347. The reversal of 1330415340 is 435140331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1330415340.

It is not an unprimeable number, because it can be changed into a prime (1330415347) 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, 382449 + ... + 385911.

It is an arithmetic number, because the mean of its divisors is an integer number (40979120).

Almost surely, 21330415340 is an apocalyptic number.

1330415340 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 1330415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966997760).

1330415340 is an abundant number, since it is smaller than the sum of its proper divisors (2603580180).

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

1330415340 is a wasteful number, since it uses less digits than its factorization.

1330415340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3831 (or 3829 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1330415340 is about 36474.8590127501. The cubic root of 1330415340 is about 1099.8389130503.

Adding to 1330415340 its reverse (435140331), we get a palindrome (1765555671).

The spelling of 1330415340 in words is "one billion, three hundred thirty million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 337 380 570 674 1011 1140 1348 1685 2022 3370 3463 4044 5055 6403 6740 6926 10110 10389 12806 13852 17315 19209 20220 20778 25612 32015 34630 38418 41556 51945 64030 65797 69260 76836 96045 103890 128060 131594 192090 197391 207780 263188 328985 384180 394782 657970 789564 986955 1167031 1315940 1973910 2334062 3501093 3947820 4668124 5835155 7002186 11670310 14004372 17505465 22173589 23340620 35010930 44347178 66520767 70021860 88694356 110867945 133041534 221735890 266083068 332603835 443471780 665207670 1330415340