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381702144 = 212331063
BaseRepresentation
bin10110110000000…
…101000000000000
3222121020110220110
4112300011000000
51240203432034
6101513111320
712313262145
oct2660050000
9877213813
10381702144
1118650851a
12a79b8540
1361105b75
14389a03cc
152379bde9
hex16c05000

381702144 has 52 divisors (see below), whose sum is σ = 1017780896. Its totient is φ = 127229952.

The previous prime is 381702137. The next prime is 381702151. The reversal of 381702144 is 441207183.

It is an interprime number because it is at equal distance from previous prime (381702137) and next prime (381702151).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3244 + ... + 27819.

Almost surely, 2381702144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 381702144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508890448).

381702144 is an abundant number, since it is smaller than the sum of its proper divisors (636078752).

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

381702144 is an equidigital number, since it uses as much as digits as its factorization.

381702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31090 (or 31068 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 381702144 is about 19537.1989804066. The cubic root of 381702144 is about 725.3955156225.

The spelling of 381702144 in words is "three hundred eighty-one million, seven hundred two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 31063 62126 93189 124252 186378 248504 372756 497008 745512 994016 1491024 1988032 2982048 3976064 5964096 7952128 11928192 15904256 23856384 31808512 47712768 63617024 95425536 127234048 190851072 381702144