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98894340 = 223253137479
BaseRepresentation
bin1011110010100…
…00001000000100
320220002100112100
411321100020010
5200304104330
613451352100
72310405456
oct571201004
9226070470
1098894340
1150906866
1229152630
131764747c
14d1c42d6
158a37060
hex5e50204

98894340 has 144 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 24779520.

The previous prime is 98894339. The next prime is 98894347. The reversal of 98894340 is 4349889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (98894347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206221 + ... + 206699.

It is an arithmetic number, because the mean of its divisors is an integer number (2213120).

Almost surely, 298894340 is an apocalyptic number.

98894340 is a gapful number since it is divisible by the number (90) 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 98894340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159344640).

98894340 is an abundant number, since it is smaller than the sum of its proper divisors (219794940).

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

98894340 is a wasteful number, since it uses less digits than its factorization.

98894340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 98894340 is about 9944.5633388299. The cubic root of 98894340 is about 462.4418665672.

The spelling of 98894340 in words is "ninety-eight million, eight hundred ninety-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 37 45 60 62 74 90 93 111 124 148 155 180 185 186 222 279 310 333 370 372 444 465 479 555 558 620 666 740 930 958 1110 1116 1147 1332 1395 1437 1665 1860 1916 2220 2294 2395 2790 2874 3330 3441 4311 4588 4790 5580 5735 5748 6660 6882 7185 8622 9580 10323 11470 13764 14370 14849 17205 17244 17723 20646 21555 22940 28740 29698 34410 35446 41292 43110 44547 51615 53169 59396 68820 70892 74245 86220 88615 89094 103230 106338 133641 148490 159507 177230 178188 206460 212676 222735 265845 267282 296980 319014 354460 445470 531690 534564 549413 638028 668205 797535 890940 1063380 1098826 1336410 1595070 1648239 2197652 2672820 2747065 3190140 3296478 4944717 5494130 6592956 8241195 9889434 10988260 16482390 19778868 24723585 32964780 49447170 98894340