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378323460 = 22345435431
BaseRepresentation
bin10110100011001…
…100001000000100
3222100212211020000
4112203030020010
51233322322320
6101312441300
712242460564
oct2643141004
9870784200
10378323460
11184610019
12a6849230
13604c2048
1438360da4
1523330c90
hex168cc204

378323460 has 120 divisors (see below), whose sum is σ = 1214638656. Its totient is φ = 98521920.

The previous prime is 378323447. The next prime is 378323467. The reversal of 378323460 is 64323873.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (378323467) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 66945 + ... + 72375.

Almost surely, 2378323460 is an apocalyptic number.

378323460 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 378323460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607319328).

378323460 is an abundant number, since it is smaller than the sum of its proper divisors (836315196).

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

378323460 is a wasteful number, since it uses less digits than its factorization.

378323460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5495 (or 5484 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 378323460 is about 19450.5388100176. The cubic root of 378323460 is about 723.2488597698.

The spelling of 378323460 in words is "three hundred seventy-eight million, three hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 81 86 90 108 129 135 162 172 180 215 258 270 324 387 405 430 516 540 645 774 810 860 1161 1290 1548 1620 1935 2322 2580 3483 3870 4644 5431 5805 6966 7740 10862 11610 13932 16293 17415 21724 23220 27155 32586 34830 48879 54310 65172 69660 81465 97758 108620 146637 162930 195516 233533 244395 293274 325860 439911 467066 488790 586548 700599 733185 879822 934132 977580 1167665 1401198 1466370 1759644 2101797 2199555 2335330 2802396 2932740 3502995 4203594 4399110 4670660 6305391 7005990 8407188 8798220 10508985 12610782 14011980 18916173 21017970 25221564 31526955 37832346 42035940 63053910 75664692 94580865 126107820 189161730 378323460