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3800352 = 253311277
BaseRepresentation
bin1110011111110100100000
321011002002210
432133310200
51433102402
6213242120
744205513
oct16376440
97132083
103800352
112166296
121333340
13a30a3a
1470cd7a
1550106c
hex39fd20

3800352 has 48 divisors (see below), whose sum is σ = 10305792. Its totient is φ = 1224960.

The previous prime is 3800347. The next prime is 3800369. The reversal of 3800352 is 2530083.

3800352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2338 + ... + 3614.

It is an arithmetic number, because the mean of its divisors is an integer number (214704).

Almost surely, 23800352 is an apocalyptic number.

3800352 is a gapful number since it is divisible by the number (32) 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 3800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5152896).

3800352 is an abundant number, since it is smaller than the sum of its proper divisors (6505440).

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

3800352 is a wasteful number, since it uses less digits than its factorization.

3800352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3800352 is about 1949.4491529660. The cubic root of 3800352 is about 156.0538932794.

The spelling of 3800352 in words is "three million, eight hundred thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 372 496 744 992 1277 1488 2554 2976 3831 5108 7662 10216 15324 20432 30648 39587 40864 61296 79174 118761 122592 158348 237522 316696 475044 633392 950088 1266784 1900176 3800352