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378835080 = 233513415923
BaseRepresentation
bin10110100101001…
…001000010001000
3222101211211000220
4112211021002020
51233440210310
6101331430040
712250021311
oct2645110210
9871754026
10378835080
1118492a448
12a6a55320
1360640b90
1438455608
15233d2670
hex16949088

378835080 has 128 divisors (see below), whose sum is σ = 1253992320. Its totient is φ = 90961920.

The previous prime is 378835073. The next prime is 378835081. The reversal of 378835080 is 80538873.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (378835081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60999 + ... + 66921.

It is an arithmetic number, because the mean of its divisors is an integer number (9796815).

Almost surely, 2378835080 is an apocalyptic number.

378835080 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 378835080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626996160).

378835080 is an abundant number, since it is smaller than the sum of its proper divisors (875157240).

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

378835080 is a wasteful number, since it uses less digits than its factorization.

378835080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5991 (or 5987 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 378835080 is about 19463.6861873593. The cubic root of 378835080 is about 723.5747377949.

The spelling of 378835080 in words is "three hundred seventy-eight million, eight hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 5923 6396 7995 10660 11846 12792 15990 17769 21320 23692 29615 31980 35538 47384 59230 63960 71076 76999 88845 118460 142152 153998 177690 230997 236920 242843 307996 355380 384995 461994 485686 615992 710760 728529 769990 923988 971372 1154985 1214215 1457058 1539980 1847976 1942744 2309970 2428430 2914116 3079960 3156959 3642645 4619940 4856860 5828232 6313918 7285290 9239880 9470877 9713720 12627836 14570580 15784795 18941754 25255672 29141160 31569590 37883508 47354385 63139180 75767016 94708770 126278360 189417540 378835080