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1348953830 = 2574192957
BaseRepresentation
bin101000001100111…
…0110011011100110
310111000021221202222
41100121312123212
510230313010310
6341504432342
745266630000
oct12031663346
93430257688
101348953830
116324a3a84
123179186b2
13186618143
14cb225370
157d660055
hex506766e6

1348953830 has 80 divisors (see below), whose sum is σ = 2982728880. Its totient is φ = 438008256.

The previous prime is 1348953829. The next prime is 1348953839. The reversal of 1348953830 is 383598431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1348953839) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454712 + ... + 457668.

It is an arithmetic number, because the mean of its divisors is an integer number (37284111).

Almost surely, 21348953830 is an apocalyptic number.

1348953830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1348953830 is an abundant number, since it is smaller than the sum of its proper divisors (1633775050).

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

1348953830 is an equidigital number, since it uses as much as digits as its factorization.

1348953830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 44.

The square root of 1348953830 is about 36728.1068120860. The cubic root of 1348953830 is about 1104.9238852044.

The spelling of 1348953830 in words is "one billion, three hundred forty-eight million, nine hundred fifty-three thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 245 266 343 490 665 686 931 1330 1715 1862 2401 2957 3430 4655 4802 5914 6517 9310 12005 13034 14785 20699 24010 29570 32585 41398 45619 56183 65170 91238 103495 112366 144893 206990 228095 280915 289786 393281 456190 561830 724465 786562 1014251 1448930 1966405 2028502 2752967 3932810 5071255 5505934 7099757 10142510 13764835 14199514 19270769 27529670 35498785 38541538 70997570 96353845 134895383 192707690 269790766 674476915 1348953830