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350197380 = 22325131091373
BaseRepresentation
bin10100110111111…
…001011010000100
3220101221212111100
4110313321122010
51204122304010
654425540100
711451425421
oct2467713204
9811855440
10350197380
1116a74a525
1299344630
1357724cb0
143471cd48
1520b272c0
hex14df9684

350197380 has 144 divisors (see below), whose sum is σ = 1155314160. Its totient is φ = 85349376.

The previous prime is 350197373. The next prime is 350197429. The reversal of 350197380 is 83791053.

350197380 is a `hidden beast` number, since 3 + 501 + 9 + 73 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10458756 + 339738624 = 3234^2 + 18432^2 .

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

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, 254374 + ... + 255746.

It is an arithmetic number, because the mean of its divisors is an integer number (8023015).

Almost surely, 2350197380 is an apocalyptic number.

350197380 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 350197380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577657080).

350197380 is an abundant number, since it is smaller than the sum of its proper divisors (805116780).

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

350197380 is a wasteful number, since it uses less digits than its factorization.

350197380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 350197380 is about 18713.5613927440. The cubic root of 350197380 is about 704.8623241041.

It can be divided in two parts, 3501973 and 80, that added together give a palindrome (3502053).

The spelling of 350197380 in words is "three hundred fifty million, one hundred ninety-seven thousand, three 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 90 109 117 130 156 180 195 218 234 260 327 390 436 468 545 585 654 780 981 1090 1170 1308 1373 1417 1635 1962 2180 2340 2746 2834 3270 3924 4119 4251 4905 5492 5668 6540 6865 7085 8238 8502 9810 12357 12753 13730 14170 16476 17004 17849 19620 20595 21255 24714 25506 27460 28340 35698 41190 42510 49428 51012 53547 61785 63765 71396 82380 85020 89245 107094 123570 127530 149657 160641 178490 214188 247140 255060 267735 299314 321282 356980 448971 535470 598628 642564 748285 803205 897942 1070940 1346913 1496570 1606410 1795884 1945541 2244855 2693826 2993140 3212820 3891082 4489710 5387652 5836623 6734565 7782164 8979420 9727705 11673246 13469130 17509869 19455410 23346492 26938260 29183115 35019738 38910820 58366230 70039476 87549345 116732460 175098690 350197380