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381312048 = 243131075711
BaseRepresentation
bin10110101110100…
…101110000110000
3222120111122210110
4112232211300300
51240103441143
6101500501320
712310045635
oct2656456060
9876448713
10381312048
11186271427
12a784a840
1360cca440
14388dc18c
1523721533
hex16ba5c30

381312048 has 80 divisors (see below), whose sum is σ = 1070931456. Its totient is φ = 116209920.

The previous prime is 381312017. The next prime is 381312109. The reversal of 381312048 is 840213183.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63913 + ... + 69623.

Almost surely, 2381312048 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 381312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535465728).

381312048 is an abundant number, since it is smaller than the sum of its proper divisors (689619408).

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

381312048 is a wasteful number, since it uses less digits than its factorization.

381312048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5842 (or 5836 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 381312048 is about 19527.2130115897. The cubic root of 381312048 is about 725.1483155939.

The spelling of 381312048 in words is "three hundred eighty-one million, three hundred twelve thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 107 156 208 214 312 321 428 624 642 856 1284 1391 1712 2568 2782 4173 5136 5564 5711 8346 11128 11422 16692 17133 22256 22844 33384 34266 45688 66768 68532 74243 91376 137064 148486 222729 274128 296972 445458 593944 611077 890916 1187888 1222154 1781832 1833231 2444308 3563664 3666462 4888616 7332924 7944001 9777232 14665848 15888002 23832003 29331696 31776004 47664006 63552008 95328012 127104016 190656024 381312048