Search a number
-
+
332815860 = 2232513413469
BaseRepresentation
bin10011110101100…
…101110111110100
3212012020210112100
4103311211313310
51140200101420
653005222100
711150613426
oct2365456764
9765223470
10332815860
11160958533
1293561930
1353c4a680
14322b6816
151e342190
hex13d65df4

332815860 has 144 divisors (see below), whose sum is σ = 1114036560. Its totient is φ = 79902720.

The previous prime is 332815859. The next prime is 332815871. The reversal of 332815860 is 68518233.

332815860 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 190108944 + 142706916 = 13788^2 + 11946^2 .

It is a super-2 number, since 2×3328158602 = 221532793335079200, which contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94206 + ... + 97674.

It is an arithmetic number, because the mean of its divisors is an integer number (7736365).

Almost surely, 2332815860 is an apocalyptic number.

332815860 is a gapful number since it is divisible by the number (30) 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 332815860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557018280).

332815860 is an abundant number, since it is smaller than the sum of its proper divisors (781220700).

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

332815860 is a wasteful number, since it uses less digits than its factorization.

332815860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3538 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 332815860 is about 18243.2414882882. The cubic root of 332815860 is about 693.0022925531.

The spelling of 332815860 in words is "three hundred thirty-two million, eight hundred fifteen thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 41 45 52 60 65 78 82 90 117 123 130 156 164 180 195 205 234 246 260 369 390 410 468 492 533 585 615 738 780 820 1066 1170 1230 1476 1599 1845 2132 2340 2460 2665 3198 3469 3690 4797 5330 6396 6938 7380 7995 9594 10407 10660 13876 15990 17345 19188 20814 23985 31221 31980 34690 41628 45097 47970 52035 62442 69380 90194 95940 104070 124884 135291 142229 156105 180388 208140 225485 270582 284458 312210 405873 426687 450970 541164 568916 624420 676455 711145 811746 853374 901940 1280061 1352910 1422290 1623492 1706748 1848977 2029365 2133435 2560122 2705820 2844580 3697954 4058730 4266870 5120244 5546931 6400305 7395908 8117460 8533740 9244885 11093862 12800610 16640793 18489770 22187724 25601220 27734655 33281586 36979540 55469310 66563172 83203965 110938620 166407930 332815860