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376180084 = 227412111553
BaseRepresentation
bin10110011011000…
…000110101110100
3222012211221001201
4112123000311310
51232300230314
6101154502244
712215322640
oct2633006564
9865757051
10376180084
11183386735
12a5b94984
135cc21587
1437d63c20
152305ab74
hex166c0d74

376180084 has 48 divisors (see below), whose sum is σ = 774861696. Its totient is φ = 156441600.

The previous prime is 376180027. The next prime is 376180099. The reversal of 376180084 is 480081673.

It is a happy number.

It is a super-3 number, since 3×3761800843 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 241452 + ... + 243004.

It is an arithmetic number, because the mean of its divisors is an integer number (16142952).

Almost surely, 2376180084 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 376180084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387430848).

376180084 is an abundant number, since it is smaller than the sum of its proper divisors (398681612).

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

376180084 is a wasteful number, since it uses less digits than its factorization.

376180084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 376180084 is about 19395.3624353865. The cubic root of 376180084 is about 721.8804266853.

It can be divided in two parts, 3761 and 80084, that added together give a triangular number (83845 = T409).

The spelling of 376180084 in words is "three hundred seventy-six million, one hundred eighty thousand, eighty-four".

Divisors: 1 2 4 7 14 28 41 82 164 211 287 422 574 844 1148 1477 1553 2954 3106 5908 6212 8651 10871 17302 21742 34604 43484 60557 63673 121114 127346 242228 254692 327683 445711 655366 891422 1310732 1782844 2293781 4587562 9175124 13435003 26870006 53740012 94045021 188090042 376180084