Search a number
-
+
381077148 = 223194193989
BaseRepresentation
bin10110101101101…
…100011010011100
3222120001201120110
4112231230122130
51240023432043
6101451450020
712305050044
oct2655543234
9876051513
10381077148
111861209a1
12a7756910
1360c4754a
143887a724
15236c6b33
hex16b6c69c

381077148 has 48 divisors (see below), whose sum is σ = 938448000. Its totient is φ = 120022848.

The previous prime is 381077111. The next prime is 381077159. The reversal of 381077148 is 841770183.

381077148 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3810771483 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93538 + ... + 97526.

It is an arithmetic number, because the mean of its divisors is an integer number (19551000).

Almost surely, 2381077148 is an apocalyptic number.

381077148 is a gapful number since it is divisible by the number (38) 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 381077148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469224000).

381077148 is an abundant number, since it is smaller than the sum of its proper divisors (557370852).

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

381077148 is a wasteful number, since it uses less digits than its factorization.

381077148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4434 (or 4432 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 381077148 is about 19521.1974017989. The cubic root of 381077148 is about 724.9993804196. Note that the first 3 decimals are identical.

The spelling of 381077148 in words is "three hundred eighty-one million, seventy-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 419 838 1257 1676 2514 3989 5028 7961 7978 11967 15922 15956 23883 23934 31844 47766 47868 75791 95532 151582 227373 303164 454746 909492 1671391 3342782 5014173 6685564 10028346 20056692 31756429 63512858 95269287 127025716 190538574 381077148