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377221140 = 223255339541
BaseRepresentation
bin10110011110111…
…111000000010100
3222021210211010100
4112132333000110
51233032034030
6101233054100
712230220042
oct2636770024
9867724110
10377221140
11183a2790a
12a63b7330
13601c739a
1438155392
15231b4360
hex167bf014

377221140 has 72 divisors (see below), whose sum is σ = 1165856328. Its totient is φ = 98691840.

The previous prime is 377221111. The next prime is 377221147. The reversal of 377221140 is 41122773.

It is a happy number.

377221140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2566404 + 374654736 = 1602^2 + 19356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (377221147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10231 + ... + 29310.

It is an arithmetic number, because the mean of its divisors is an integer number (16192449).

Almost surely, 2377221140 is an apocalyptic number.

377221140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

377221140 is an abundant number, since it is smaller than the sum of its proper divisors (788635188).

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

377221140 is a wasteful number, since it uses less digits than its factorization.

377221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39609 (or 39604 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 377221140 is about 19422.1816488262. The cubic root of 377221140 is about 722.5457337062.

The spelling of 377221140 in words is "three hundred seventy-seven million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 39541 79082 118623 158164 197705 237246 355869 395410 474492 593115 711738 790820 1186230 1423476 1779345 2095673 2372460 3558690 4191346 6287019 7117380 8382692 10478365 12574038 18861057 20956730 25148076 31435095 37722114 41913460 62870190 75444228 94305285 125740380 188610570 377221140