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978643340 = 225313721153
BaseRepresentation
bin111010010101001…
…110100110001100
32112012111020021122
4322111032212030
54001013041330
6241035420112
733152221403
oct7225164614
92465436248
10978643340
11462467254
122338b4638
131279a03cc
1493d8c63a
155adb35e5
hex3a54e98c

978643340 has 72 divisors (see below), whose sum is σ = 2182223232. Its totient is φ = 368271360.

The previous prime is 978643297. The next prime is 978643373. The reversal of 978643340 is 43346879.

It is a happy number.

978643340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 978643291 and 978643300.

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, 848204 + ... + 849356.

It is an arithmetic number, because the mean of its divisors is an integer number (30308656).

Almost surely, 2978643340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 978643340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091111616).

978643340 is an abundant number, since it is smaller than the sum of its proper divisors (1203579892).

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

978643340 is a wasteful number, since it uses less digits than its factorization.

978643340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 978643340 is about 31283.2757236195. The cubic root of 978643340 is about 992.8298247972.

The spelling of 978643340 in words is "nine hundred seventy-eight million, six hundred forty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 37 62 74 124 148 155 185 310 370 620 740 1147 1153 1369 2294 2306 2738 4588 4612 5476 5735 5765 6845 11470 11530 13690 22940 23060 27380 35743 42439 42661 71486 84878 85322 142972 169756 170644 178715 212195 213305 357430 424390 426610 714860 848780 853220 1322491 1578457 2644982 3156914 5289964 6313828 6612455 7892285 13224910 15784570 26449820 31569140 48932167 97864334 195728668 244660835 489321670 978643340