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193208328 = 23310409
BaseRepresentation
bin10111000010000…
…10000000001000
3111110120000000000
423201002000020
5343430131303
631101043000
74534146405
oct1341020010
9443500000
10193208328
119a074305
1254856460
1331049b71
141b9352ac
1511e66da3
hexb842008

193208328 has 88 divisors (see below), whose sum is σ = 544723950. Its totient is φ = 64245312.

The previous prime is 193208311. The next prime is 193208329. The reversal of 193208328 is 823802391.

It is a happy number.

193208328 is a `hidden beast` number, since 1 + 9 + 320 + 8 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 124947684 + 68260644 = 11178^2 + 8262^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 193208292 and 193208301.

It is not an unprimeable number, because it can be changed into a prime (193208329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 472188 + ... + 472596.

Almost surely, 2193208328 is an apocalyptic number.

193208328 is a gapful number since it is divisible by the number (18) 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 193208328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272361975).

193208328 is an abundant number, since it is smaller than the sum of its proper divisors (351515622).

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

193208328 is an frugal number, since it uses more digits than its factorization.

193208328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 193208328 is about 13899.9398559850. The cubic root of 193208328 is about 578.1075138339.

The spelling of 193208328 in words is "one hundred ninety-three million, two hundred eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 409 486 648 729 818 972 1227 1458 1636 1944 2187 2454 2916 3272 3681 4374 4908 5832 6561 7362 8748 9816 11043 13122 14724 17496 19683 22086 26244 29448 33129 39366 44172 52488 59049 66258 78732 88344 99387 118098 132516 157464 198774 236196 265032 298161 397548 472392 596322 795096 894483 1192644 1788966 2385288 2683449 3577932 5366898 7155864 8050347 10733796 16100694 21467592 24151041 32201388 48302082 64402776 96604164 193208328