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309481680 = 24353141597
BaseRepresentation
bin10010011100100…
…101000011010000
3210120100022001110
4102130211003100
51113211403210
650413133320
710445356644
oct2234450320
9716308043
10309481680
11149770192
128778a240
134c16a771
142d160c24
151c283420
hex127250d0

309481680 has 80 divisors (see below), whose sum is σ = 990365184. Its totient is φ = 79864320.

The previous prime is 309481673. The next prime is 309481691. The reversal of 309481680 is 86184903.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13359 + ... + 28238.

Almost surely, 2309481680 is an apocalyptic number.

309481680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

309481680 is an abundant number, since it is smaller than the sum of its proper divisors (680883504).

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

309481680 is a wasteful number, since it uses less digits than its factorization.

309481680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41644 (or 41638 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 309481680 is about 17592.0914049467. The cubic root of 309481680 is about 676.4125371943.

The spelling of 309481680 in words is "three hundred nine million, four hundred eighty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 41597 83194 124791 166388 207985 249582 332776 415970 499164 623955 665552 831940 998328 1247910 1289507 1663880 1996656 2495820 2579014 3327760 3868521 4991640 5158028 6447535 7737042 9983280 10316056 12895070 15474084 19342605 20632112 25790140 30948168 38685210 51580280 61896336 77370420 103160560 154740840 309481680