Search a number
-
+
376909380 = 2232517373329
BaseRepresentation
bin10110011101110…
…010111001000100
3222021012222110200
4112131302321010
51232442100010
6101222250500
712224451111
oct2635627104
9867188420
10376909380
11183834661
12a6286a30
1360118503
14380b3908
1523151cc0
hex16772e44

376909380 has 144 divisors (see below), whose sum is σ = 1243635120. Its totient is φ = 92012544.

The previous prime is 376909373. The next prime is 376909387. The reversal of 376909380 is 83909673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (376909373) and next prime (376909387).

It can be written as a sum of positive squares in 8 ways, for example, as 22867524 + 354041856 = 4782^2 + 18816^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (376909387) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111556 + ... + 114884.

It is an arithmetic number, because the mean of its divisors is an integer number (8636355).

Almost surely, 2376909380 is an apocalyptic number.

376909380 is a gapful number since it is divisible by the number (30) 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 376909380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621817560).

376909380 is an abundant number, since it is smaller than the sum of its proper divisors (866725740).

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

376909380 is a wasteful number, since it uses less digits than its factorization.

376909380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3398 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 376909380 is about 19414.1541149750. The cubic root of 376909380 is about 722.3466259687.

The spelling of 376909380 in words is "three hundred seventy-six million, nine hundred nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3329 3330 3774 5661 6290 6658 6660 7548 9435 9987 11322 12580 13316 16645 18870 19974 22644 28305 29961 33290 37740 39948 49935 56593 56610 59922 66580 99870 113186 113220 119844 123173 149805 169779 199740 226372 246346 282965 299610 339558 369519 492692 509337 565930 599220 615865 679116 739038 848895 1018674 1108557 1131860 1231730 1478076 1697790 1847595 2037348 2093941 2217114 2463460 2546685 3395580 3695190 4187882 4434228 5093370 5542785 6281823 7390380 8375764 10186740 10469705 11085570 12563646 18845469 20939410 22171140 25127292 31409115 37690938 41878820 62818230 75381876 94227345 125636460 188454690 376909380