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930740349 = 3721136771
BaseRepresentation
bin110111011110011…
…111100001111101
32101212100111201210
4313132133201331
53401232142344
6232204555033
732031106500
oct6736374175
92355314653
10930740349
11438419000
1221b852a79
1311aa9a646
148b87d137
1556a9edb9
hex3779f87d

930740349 has 96 divisors (see below), whose sum is σ = 1634245632. Its totient is φ = 469576800.

The previous prime is 930740347. The next prime is 930740353. The reversal of 930740349 is 943047039.

It is not a de Polignac number, because 930740349 - 21 = 930740347 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (930740347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13108984 + ... + 13109054.

It is an arithmetic number, because the mean of its divisors is an integer number (17023392).

Almost surely, 2930740349 is an apocalyptic number.

It is an amenable number.

930740349 is a deficient number, since it is larger than the sum of its proper divisors (703505283).

930740349 is a wasteful number, since it uses less digits than its factorization.

930740349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 930740349 is about 30508.0374491707. The cubic root of 930740349 is about 976.3589549757.

The spelling of 930740349 in words is "nine hundred thirty million, seven hundred forty thousand, three hundred forty-nine".

Divisors: 1 3 7 11 21 33 49 67 71 77 121 147 201 213 231 363 469 497 539 737 781 847 1331 1407 1491 1617 2211 2343 2541 3283 3479 3993 4757 5159 5467 5929 8107 8591 9317 9849 10437 14271 15477 16401 17787 24321 25773 27951 33299 36113 38269 52327 56749 60137 65219 89177 94501 99897 108339 114807 156981 170247 180411 195657 233093 267531 283503 366289 397243 420959 575597 624239 661507 699279 1098867 1191729 1262877 1726791 1872717 1984521 2564023 4029179 4369673 4630549 6331567 7692069 12087537 13109019 13891647 18994701 28204253 44320969 84612759 132962907 310246783 930740349