Search a number
-
+
378066480 = 243511712017
BaseRepresentation
bin10110100010001…
…101011000110000
3222100101202201020
4112202031120300
51233241111410
6101303135440
712240340431
oct2642153060
9870352636
10378066480
11184454a40
12a6744580
136043209c
14382d5488
15232cea70
hex1688d630

378066480 has 160 divisors (see below), whose sum is σ = 1297202688. Its totient is φ = 90316800.

The previous prime is 378066467. The next prime is 378066527. The reversal of 378066480 is 84660873.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186432 + ... + 188448.

Almost surely, 2378066480 is an apocalyptic number.

378066480 is a gapful number since it is divisible by the number (30) 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 378066480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648601344).

378066480 is an abundant number, since it is smaller than the sum of its proper divisors (919136208).

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

378066480 is a wasteful number, since it uses less digits than its factorization.

378066480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 378066480 is about 19443.9317011761. The cubic root of 378066480 is about 723.0850646667.

The spelling of 378066480 in words is "three hundred seventy-eight million, sixty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 71 80 88 110 120 132 142 165 176 213 220 240 264 284 330 355 426 440 528 568 660 710 781 852 880 1065 1136 1320 1420 1562 1704 2017 2130 2343 2640 2840 3124 3408 3905 4034 4260 4686 5680 6051 6248 7810 8068 8520 9372 10085 11715 12102 12496 15620 16136 17040 18744 20170 22187 23430 24204 30255 31240 32272 37488 40340 44374 46860 48408 60510 62480 66561 80680 88748 93720 96816 110935 121020 133122 143207 161360 177496 187440 221870 242040 266244 286414 332805 354992 429621 443740 484080 532488 572828 665610 716035 859242 887480 1064976 1145656 1331220 1432070 1575277 1718484 1774960 2148105 2291312 2662440 2864140 3150554 3436968 4296210 4725831 5324880 5728280 6301108 6873936 7876385 8592420 9451662 11456560 12602216 15752770 17184840 18903324 23629155 25204432 31505540 34369680 37806648 47258310 63011080 75613296 94516620 126022160 189033240 378066480