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1981430352 = 2432111965837
BaseRepresentation
bin111011000011010…
…0011101001010000
312010002102002110100
41312012203221100
513024221232402
6524340532400
7100046610606
oct16606435120
95102362410
101981430352
11927513a50
124736b1100
13257674cc5
1414b223876
15b8e4571c
hex761a3a50

1981430352 has 120 divisors (see below), whose sum is σ = 6367851360. Its totient is φ = 568823040.

The previous prime is 1981430351. The next prime is 1981430377. The reversal of 1981430352 is 2530341891.

1981430352 is a `hidden beast` number, since 198 + 1 + 430 + 35 + 2 = 666.

It is a super-3 number, since 3×19814303523 (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1981430351) 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, 2823 + ... + 63014.

It is an arithmetic number, because the mean of its divisors is an integer number (53065428).

Almost surely, 21981430352 is an apocalyptic number.

1981430352 is a gapful number since it is divisible by the number (12) 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 1981430352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183925680).

1981430352 is an abundant number, since it is smaller than the sum of its proper divisors (4386421008).

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

1981430352 is a wasteful number, since it uses less digits than its factorization.

1981430352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65881 (or 65872 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1981430352 is about 44513.2604063104. The cubic root of 1981430352 is about 1256.0095371637.

The spelling of 1981430352 in words is "one billion, nine hundred eighty-one million, four hundred thirty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 65837 131674 197511 263348 395022 526696 592533 724207 790044 1053392 1185066 1250903 1448414 1580088 2172621 2370132 2501806 2896828 3160176 3752709 4345242 4740264 5003612 5793656 6517863 7505418 8690484 9480528 10007224 11258127 11587312 13035726 13759933 15010836 17380968 20014448 22516254 26071452 27519866 30021672 34761936 41279799 45032508 52142904 55039732 60043344 82559598 90065016 104285808 110079464 123839397 165119196 180130032 220158928 247678794 330238392 495357588 660476784 990715176 1981430352