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985834440 = 233254016829
BaseRepresentation
bin111010110000101…
…010001111001000
32112201000120121200
4322300222033020
54004333200230
6241453504200
733300311613
oct7260521710
92481016550
10985834440
11466529008
122361a2060
1312931a5b6
1494d0117a
155b834160
hex3ac2a3c8

985834440 has 96 divisors (see below), whose sum is σ = 3212422200. Its totient is φ = 262195200.

The previous prime is 985834433. The next prime is 985834453. The reversal of 985834440 is 44438589.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 976062564 + 9771876 = 31242^2 + 3126^2 .

It is a super-2 number, since 2×9858344402 = 1943739086180227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140946 + ... + 147774.

Almost surely, 2985834440 is an apocalyptic number.

985834440 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 985834440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606211100).

985834440 is an abundant number, since it is smaller than the sum of its proper divisors (2226587760).

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

985834440 is a wasteful number, since it uses less digits than its factorization.

985834440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7247 (or 7240 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 985834440 is about 31398.0005732849. Note that the first 3 decimals coincide. The cubic root of 985834440 is about 995.2556736301.

The spelling of 985834440 in words is "nine hundred eighty-five million, eight hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 401 802 1203 1604 2005 2406 3208 3609 4010 4812 6015 6829 7218 8020 9624 12030 13658 14436 16040 18045 20487 24060 27316 28872 34145 36090 40974 48120 54632 61461 68290 72180 81948 102435 122922 136580 144360 163896 204870 245844 273160 307305 409740 491688 614610 819480 1229220 2458440 2738429 5476858 8215287 10953716 13692145 16430574 21907432 24645861 27384290 32861148 41076435 49291722 54768580 65722296 82152870 98583444 109537160 123229305 164305740 197166888 246458610 328611480 492917220 985834440