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1307318352 = 243531393697
BaseRepresentation
bin100110111101100…
…0001100001010000
310101002221122122020
41031323001201100
510134133141402
6333420211440
744253010524
oct11573014120
93332848566
101307318352
11610a4669a
12305999b80
1317aacb072
14c58a7d84
1579b888bc
hex4dec1850

1307318352 has 80 divisors (see below), whose sum is σ = 3466653120. Its totient is φ = 424359936.

The previous prime is 1307318323. The next prime is 1307318429. The reversal of 1307318352 is 2538137031.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 351768 + ... + 355464.

It is an arithmetic number, because the mean of its divisors is an integer number (43333164).

Almost surely, 21307318352 is an apocalyptic number.

1307318352 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 1307318352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733326560).

1307318352 is an abundant number, since it is smaller than the sum of its proper divisors (2159334768).

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

1307318352 is a wasteful number, since it uses less digits than its factorization.

1307318352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3900 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 1307318352 is about 36156.8576068220. The cubic root of 1307318352 is about 1093.4370512684.

The spelling of 1307318352 in words is "one billion, three hundred seven million, three hundred eighteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 139 159 212 278 318 417 424 556 636 834 848 1112 1272 1668 2224 2544 3336 3697 6672 7367 7394 11091 14734 14788 22101 22182 29468 29576 44202 44364 58936 59152 88404 88728 117872 176808 177456 195941 353616 391882 513883 587823 783764 1027766 1175646 1541649 1567528 2055532 2351292 3083298 3135056 4111064 4702584 6166596 8222128 9405168 12333192 24666384 27235799 54471598 81707397 108943196 163414794 217886392 326829588 435772784 653659176 1307318352