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198734328 = 233213673169
BaseRepresentation
bin10111101100001…
…11000111111000
3111211221202020200
423312013013320
5401333444303
631415322200
74632133242
oct1366070770
9454852220
10198734328
11a21a9051
1256680360
13322331a0
141c573092
15126a93a3
hexbd871f8

198734328 has 96 divisors (see below), whose sum is σ = 588478800. Its totient is φ = 60217344.

The previous prime is 198734323. The next prime is 198734353. The reversal of 198734328 is 823437891.

It is a super-2 number, since 2×1987343282 = 78990666251223168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198734323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61128 + ... + 64296.

Almost surely, 2198734328 is an apocalyptic number.

198734328 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 198734328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294239400).

198734328 is an abundant number, since it is smaller than the sum of its proper divisors (389744472).

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

198734328 is a wasteful number, since it uses less digits than its factorization.

198734328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3254 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 198734328 is about 14097.3163403536. The cubic root of 198734328 is about 583.5673204070.

It can be divided in two parts, 1987 and 34328, that added together give a triangular number (36315 = T269).

The spelling of 198734328 in words is "one hundred ninety-eight million, seven hundred thirty-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 67 72 78 104 117 134 156 201 234 268 312 402 468 536 603 804 871 936 1206 1608 1742 2412 2613 3169 3484 4824 5226 6338 6968 7839 9507 10452 12676 15678 19014 20904 25352 28521 31356 38028 41197 57042 62712 76056 82394 114084 123591 164788 212323 228168 247182 329576 370773 424646 494364 636969 741546 849292 988728 1273938 1483092 1698584 1910907 2547876 2760199 2966184 3821814 5095752 5520398 7643628 8280597 11040796 15287256 16561194 22081592 24841791 33122388 49683582 66244776 99367164 198734328