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376630320 = 243511179797
BaseRepresentation
bin10110011100101…
…110110000110000
3222020200210200010
4112130232300300
51232404132240
6101212254520
712222206403
oct2634566060
9866623603
10376630320
11183663a30
12a6171440
136004b4a1
143803dd3a
15230e9280
hex1672ec30

376630320 has 160 divisors (see below), whose sum is σ = 1282417920. Its totient is φ = 90680320.

The previous prime is 376630307. The next prime is 376630321. The reversal of 376630320 is 23036673.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (376630321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 472162 + ... + 472958.

It is an arithmetic number, because the mean of its divisors is an integer number (8015112).

Almost surely, 2376630320 is an apocalyptic number.

376630320 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 376630320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

376630320 is an abundant number, since it is smaller than the sum of its proper divisors (905787600).

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

376630320 is a wasteful number, since it uses less digits than its factorization.

376630320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 30.

The square root of 376630320 is about 19406.9657597472. The cubic root of 376630320 is about 722.1683091730.

Adding to 376630320 its reverse (23036673), we get a palindrome (399666993).

The spelling of 376630320 in words is "three hundred seventy-six million, six hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 179 220 240 264 330 358 440 528 537 660 716 797 880 895 1074 1320 1432 1594 1790 1969 2148 2391 2640 2685 2864 3188 3580 3938 3985 4296 4782 5370 5907 6376 7160 7876 7970 8592 8767 9564 9845 10740 11814 11955 12752 14320 15752 15940 17534 19128 19690 21480 23628 23910 26301 29535 31504 31880 35068 38256 39380 42960 43835 47256 47820 52602 59070 63760 70136 78760 87670 94512 95640 105204 118140 131505 140272 142663 157520 175340 191280 210408 236280 263010 285326 350680 420816 427989 472560 526020 570652 701360 713315 855978 1052040 1141304 1426630 1569293 1711956 2104080 2139945 2282608 2853260 3138586 3423912 4279890 4707879 5706520 6277172 6847824 7846465 8559780 9415758 11413040 12554344 15692930 17119560 18831516 23539395 25108688 31385860 34239120 37663032 47078790 62771720 75326064 94157580 125543440 188315160 376630320