Search a number
-
+
344370780 = 2232513367401
BaseRepresentation
bin10100100001101…
…010111001011100
3212222222211220100
4110201222321130
51201124331110
654101021100
711351050305
oct2441527134
9788884810
10344370780
1116742a956
12973b4790
1356464bc0
1433a437ac
1520375bc0
hex1486ae5c

344370780 has 144 divisors (see below), whose sum is σ = 1130822784. Its totient is φ = 84326400.

The previous prime is 344370721. The next prime is 344370791. The reversal of 344370780 is 87073443.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858580 + ... + 858980.

It is an arithmetic number, because the mean of its divisors is an integer number (7852936).

Almost surely, 2344370780 is an apocalyptic number.

344370780 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 344370780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565411392).

344370780 is an abundant number, since it is smaller than the sum of its proper divisors (786452004).

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

344370780 is a wasteful number, since it uses less digits than its factorization.

344370780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 791 counting only the distinct ones).

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

The square root of 344370780 is about 18557.2298579287. The cubic root of 344370780 is about 700.9312639198.

The spelling of 344370780 in words is "three hundred forty-four million, three hundred seventy thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 367 390 401 468 585 734 780 802 1101 1170 1203 1468 1604 1835 2005 2202 2340 2406 3303 3609 3670 4010 4404 4771 4812 5213 5505 6015 6606 7218 7340 8020 9542 10426 11010 12030 13212 14313 14436 15639 16515 18045 19084 20852 22020 23855 24060 26065 28626 31278 33030 36090 42939 46917 47710 52130 57252 62556 66060 71565 72180 78195 85878 93834 95420 104260 143130 147167 156390 171756 187668 214695 234585 286260 294334 312780 429390 441501 469170 588668 735835 858780 883002 938340 1324503 1471670 1766004 1913171 2207505 2649006 2943340 3826342 4415010 5298012 5739513 6622515 7652684 8830020 9565855 11479026 13245030 17218539 19131710 22958052 26490060 28697565 34437078 38263420 57395130 68874156 86092695 114790260 172185390 344370780