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391344048 = 2434714253
BaseRepresentation
bin10111010100110…
…110111110110000
31000021101100010000
4113110312332300
51300141002143
6102455510000
712461240514
oct2724667660
91007340100
10391344048
111909a3637
12ab088300
1363100734
1439d90144
1524553bd3
hex17536fb0

391344048 has 100 divisors (see below), whose sum is σ = 1148886288. Its totient is φ = 128580480.

The previous prime is 391344013. The next prime is 391344059. The reversal of 391344048 is 840443193.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 89890 + ... + 94142.

Almost surely, 2391344048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391344048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574443144).

391344048 is an abundant number, since it is smaller than the sum of its proper divisors (757542240).

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

391344048 is a wasteful number, since it uses less digits than its factorization.

391344048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 391344048 is about 19782.4176480025. The cubic root of 391344048 is about 731.4526948947.

It can be divided in two parts, 3913 and 44048, that added together give a square (47961 = 2192).

The spelling of 391344048 in words is "three hundred ninety-one million, three hundred forty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 4253 5112 5751 7668 8506 10224 11502 12759 15336 17012 23004 25518 30672 34024 38277 46008 51036 68048 76554 92016 102072 114831 153108 204144 229662 301963 306216 344493 459324 603926 612432 688986 905889 918648 1207852 1377972 1811778 1837296 2415704 2717667 2755944 3623556 4831408 5435334 5511888 7247112 8153001 10870668 14494224 16306002 21741336 24459003 32612004 43482672 48918006 65224008 97836012 130448016 195672024 391344048