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303071104 = 27717101197
BaseRepresentation
bin10010000100000…
…111111110000000
3210010021121101201
4102010013332000
51110041233404
650023510544
710340030140
oct2204077600
9703247351
10303071104
11146091896
12855b8454
134aa3491b
142c372920
151b918ca4
hex12107f80

303071104 has 128 divisors (see below), whose sum is σ = 741597120. Its totient is φ = 120422400.

The previous prime is 303071101. The next prime is 303071117. The reversal of 303071104 is 401170303.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (303071101) by changing a digit.

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, 1538334 + ... + 1538530.

Almost surely, 2303071104 is an apocalyptic number.

303071104 is a gapful number since it is divisible by the number (34) 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 303071104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370798560).

303071104 is an abundant number, since it is smaller than the sum of its proper divisors (438526016).

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

303071104 is a wasteful number, since it uses less digits than its factorization.

303071104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 303071104 is about 17408.9374747570. The cubic root of 303071104 is about 671.7095305484.

The spelling of 303071104 in words is "three hundred three million, seventy-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 101 112 119 128 136 197 202 224 238 272 394 404 448 476 544 707 788 808 896 952 1088 1379 1414 1576 1616 1717 1904 2176 2758 2828 3152 3232 3349 3434 3808 5516 5656 6304 6464 6698 6868 7616 11032 11312 12019 12608 12928 13396 13736 15232 19897 22064 22624 23443 24038 25216 26792 27472 39794 44128 45248 46886 48076 53584 54944 79588 88256 90496 93772 96152 107168 109888 139279 159176 176512 187544 192304 214336 219776 278558 318352 338249 375088 384608 428672 557116 636704 676498 750176 769216 1114232 1273408 1352996 1500352 1538432 2228464 2367743 2546816 2705992 3000704 4456928 4735486 5411984 8913856 9470972 10823968 17827712 18941944 21647936 37883888 43295872 75767776 151535552 303071104