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198376704 = 2832292969
BaseRepresentation
bin10111101001011…
…11110100000000
3111211021120200100
423310233310000
5401241023304
631403522400
74626113511
oct1364576400
9454246610
10198376704
11a1a84399
1256529400
1332139486
141c4bca08
1512638439
hexbd2fd00

198376704 has 108 divisors (see below), whose sum is σ = 591891300. Its totient is φ = 63823872.

The previous prime is 198376699. The next prime is 198376709. The reversal of 198376704 is 407673891.

198376704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198376699) and next prime (198376709).

It can be written as a sum of positive squares in 2 ways, for example, as 36578304 + 161798400 = 6048^2 + 12720^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 198376704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198376709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65332 + ... + 68300.

It is an arithmetic number, because the mean of its divisors is an integer number (5480475).

Almost surely, 2198376704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198376704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295945650).

198376704 is an abundant number, since it is smaller than the sum of its proper divisors (393514596).

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

198376704 is a wasteful number, since it uses less digits than its factorization.

198376704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020 (or 3003 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 198376704 is about 14084.6265126201. The cubic root of 198376704 is about 583.2170655531.

It can be divided in two parts, 1983 and 76704, that added together give a palindrome (78687).

The spelling of 198376704 in words is "one hundred ninety-eight million, three hundred seventy-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 522 576 696 768 928 1044 1152 1392 1856 2088 2304 2784 2969 3712 4176 5568 5938 7424 8352 8907 11136 11876 16704 17814 22272 23752 26721 33408 35628 47504 53442 66816 71256 86101 95008 106884 142512 172202 190016 213768 258303 285024 344404 380032 427536 516606 570048 688808 760064 774909 855072 1033212 1140096 1377616 1549818 1710144 2066424 2280192 2755232 3099636 3420288 4132848 5510464 6199272 6840576 8265696 11020928 12398544 16531392 22041856 24797088 33062784 49594176 66125568 99188352 198376704