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378693900 = 2233521310789
BaseRepresentation
bin10110100100100…
…110100100001100
3222101120122101000
4112210212210030
51233421201100
6101324420300
712245562564
oct2644464414
9871518330
10378693900
11184843372
12a69a7690
13605c1840
1438419da4
15233a5900
hex1692690c

378693900 has 144 divisors (see below), whose sum is σ = 1311200800. Its totient is φ = 93208320.

The previous prime is 378693881. The next prime is 378693929. The reversal of 378693900 is 9396873.

It is a happy number.

378693900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29706 + ... + 40494.

Almost surely, 2378693900 is an apocalyptic number.

378693900 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 378693900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655600400).

378693900 is an abundant number, since it is smaller than the sum of its proper divisors (932506900).

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

378693900 is a wasteful number, since it uses less digits than its factorization.

378693900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 378693900 is about 19460.0590954909. The cubic root of 378693900 is about 723.4848420598.

The spelling of 378693900 in words is "three hundred seventy-eight million, six hundred ninety-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 65 75 78 90 100 108 117 130 135 150 156 180 195 225 234 260 270 300 325 351 390 450 468 540 585 650 675 702 780 900 975 1170 1300 1350 1404 1755 1950 2340 2700 2925 3510 3900 5850 7020 8775 10789 11700 17550 21578 32367 35100 43156 53945 64734 97101 107890 129468 140257 161835 194202 215780 269725 280514 291303 323670 388404 420771 485505 539450 561028 582606 647340 701285 809175 841542 971010 1078900 1165212 1262313 1402570 1456515 1618350 1683084 1942020 2103855 2427525 2524626 2805140 2913030 3236700 3506425 3786939 4207710 4855050 5049252 5826060 6311565 7012850 7282575 7573878 8415420 9710100 10519275 12623130 14025700 14565150 15147756 18934695 21038550 25246260 29130300 31557825 37869390 42077100 63115650 75738780 94673475 126231300 189346950 378693900