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3780378 = 233773137
BaseRepresentation
bin1110011010111100011010
321010001201000
432122330122
51431433003
6213005430
744063340
oct16327432
97101630
103780378
112152288
121323876
13a24914
14705990
154ea1a3
hex39af1a

3780378 has 64 divisors (see below), whose sum is σ = 9803520. Its totient is φ = 1057536.

The previous prime is 3780377. The next prime is 3780389. The reversal of 3780378 is 8730873.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3780377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27526 + ... + 27662.

It is an arithmetic number, because the mean of its divisors is an integer number (153180).

Almost surely, 23780378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4901760).

3780378 is an abundant number, since it is smaller than the sum of its proper divisors (6023142).

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

3780378 is a wasteful number, since it uses less digits than its factorization.

3780378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3780378 is about 1944.3194182027. The cubic root of 3780378 is about 155.7800153766.

The spelling of 3780378 in words is "three million, seven hundred eighty thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 126 137 146 189 219 274 378 411 438 511 657 822 959 1022 1233 1314 1533 1918 1971 2466 2877 3066 3699 3942 4599 5754 7398 8631 9198 10001 13797 17262 20002 25893 27594 30003 51786 60006 70007 90009 140014 180018 210021 270027 420042 540054 630063 1260126 1890189 3780378