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377480340 = 223257332861
BaseRepresentation
bin10110011111111…
…110010010010100
3222022021222200100
4112133332102110
51233113332330
6101242414100
712232346526
oct2637762224
9868258610
10377480340
11184094626
12a6501330
1360288363
14381c1a16
1523216060
hex167fe494

377480340 has 72 divisors (see below), whose sum is σ = 1146986568. Its totient is φ = 100488960.

The previous prime is 377480339. The next prime is 377480381. The reversal of 377480340 is 43084773.

It can be written as a sum of positive squares in 4 ways, for example, as 145588356 + 231891984 = 12066^2 + 15228^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 377480295 and 377480304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130510 + ... + 133370.

It is an arithmetic number, because the mean of its divisors is an integer number (15930369).

Almost surely, 2377480340 is an apocalyptic number.

377480340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

377480340 is an abundant number, since it is smaller than the sum of its proper divisors (769506228).

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

377480340 is a wasteful number, since it uses less digits than its factorization.

377480340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609 (or 3604 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 377480340 is about 19428.8532857706. The cubic root of 377480340 is about 722.7111901229.

The spelling of 377480340 in words is "three hundred seventy-seven million, four hundred eighty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 733 1466 2199 2861 2932 3665 4398 5722 6597 7330 8583 8796 10995 11444 13194 14305 14660 17166 21990 25749 26388 28610 32985 34332 42915 43980 51498 57220 65970 85830 102996 128745 131940 171660 257490 514980 2097113 4194226 6291339 8388452 10485565 12582678 18874017 20971130 25165356 31456695 37748034 41942260 62913390 75496068 94370085 125826780 188740170 377480340