Search a number
-
+
378802890 = 23255098269
BaseRepresentation
bin10110100101000…
…001001011001010
3222101210011212200
4112211001023022
51233433143030
6101331021030
712246525414
oct2645011312
9871704780
10378802890
11184908244
12a6a3a776
136062c32b
14384479b4
15233c7d60
hex169412ca

378802890 has 48 divisors (see below), whose sum is σ = 986941800. Its totient is φ = 100803456.

The previous prime is 378802877. The next prime is 378802903. The reversal of 378802890 is 98208873.

It is an interprime number because it is at equal distance from previous prime (378802877) and next prime (378802903).

It can be written as a sum of positive squares in 4 ways, for example, as 378030249 + 772641 = 19443^2 + 879^2 .

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 23 ways as a sum of consecutive naturals, for example, 41676 + ... + 49944.

Almost surely, 2378802890 is an apocalyptic number.

378802890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

378802890 is an abundant number, since it is smaller than the sum of its proper divisors (608138910).

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

378802890 is a wasteful number, since it uses less digits than its factorization.

378802890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8791 (or 8788 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 378802890 is about 19462.8592452394. The cubic root of 378802890 is about 723.5542429219.

The spelling of 378802890 in words is "three hundred seventy-eight million, eight hundred two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 509 1018 1527 2545 3054 4581 5090 7635 8269 9162 15270 16538 22905 24807 41345 45810 49614 74421 82690 124035 148842 248070 372105 744210 4208921 8417842 12626763 21044605 25253526 37880289 42089210 63133815 75760578 126267630 189401445 378802890