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1302354340 = 225724132413
BaseRepresentation
bin100110110100000…
…0101100110100100
310100202121110021221
41031220011212210
510131400314330
6333121550124
744162554300
oct11550054644
93322543257
101302354340
11609166101
123041a5344
13179a80791
14c4d74d00
1579507b7a
hex4da059a4

1302354340 has 72 divisors (see below), whose sum is σ = 3259162872. Its totient is φ = 435617280.

The previous prime is 1302354307. The next prime is 1302354367. The reversal of 1302354340 is 434532031.

It can be written as a sum of positive squares in 4 ways, for example, as 100761444 + 1201592896 = 10038^2 + 34664^2 .

It is a super-2 number, since 2×13023543402 = 3392253653833671200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23974 + ... + 56386.

It is an arithmetic number, because the mean of its divisors is an integer number (45266151).

Almost surely, 21302354340 is an apocalyptic number.

1302354340 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 1302354340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629581436).

1302354340 is an abundant number, since it is smaller than the sum of its proper divisors (1956808532).

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

1302354340 is a wasteful number, since it uses less digits than its factorization.

1302354340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32477 (or 32468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 1302354340 is about 36088.1468075045. The cubic root of 1302354340 is about 1092.0513344266.

Adding to 1302354340 its reverse (434532031), we get a palindrome (1736886371).

The spelling of 1302354340 in words is "one billion, three hundred two million, three hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 32413 40180 64826 129652 162065 226891 324130 453782 648260 907564 1134455 1328933 1588237 2268910 2657866 3176474 4537820 5315732 6352948 6644665 7941185 9302531 13289330 15882370 18605062 26578660 31764740 37210124 46512655 65117717 93025310 130235434 186050620 260470868 325588585 651177170 1302354340