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378797280 = 25354311831
BaseRepresentation
bin10110100100111…
…111110011100000
3222101202220011220
4112210333303200
51233433003110
6101330535040
712246503151
oct2644776340
9871686156
10378797280
11184904004
12a6a37480
1360629904
1438445928
15233c6370
hex1693fce0

378797280 has 96 divisors (see below), whose sum is σ = 1196633088. Its totient is φ = 100723200.

The previous prime is 378797269. The next prime is 378797303. The reversal of 378797280 is 82797873.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 205965 + ... + 207795.

It is an arithmetic number, because the mean of its divisors is an integer number (12464928).

Almost surely, 2378797280 is an apocalyptic number.

378797280 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 378797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598316544).

378797280 is an abundant number, since it is smaller than the sum of its proper divisors (817835808).

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

378797280 is a wasteful number, since it uses less digits than its factorization.

378797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2280 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 51.

The square root of 378797280 is about 19462.7151240519. The cubic root of 378797280 is about 723.5506710033.

The spelling of 378797280 in words is "three hundred seventy-eight million, seven hundred ninety-seven thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 431 480 862 1293 1724 1831 2155 2586 3448 3662 4310 5172 5493 6465 6896 7324 8620 9155 10344 10986 12930 13792 14648 17240 18310 20688 21972 25860 27465 29296 34480 36620 41376 43944 51720 54930 58592 68960 73240 87888 103440 109860 146480 175776 206880 219720 292960 439440 789161 878880 1578322 2367483 3156644 3945805 4734966 6313288 7891610 9469932 11837415 12626576 15783220 18939864 23674830 25253152 31566440 37879728 47349660 63132880 75759456 94699320 126265760 189398640 378797280