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326852640 = 25325613
BaseRepresentation
bin10011011110110…
…110000000100000
3211210000211112100
4103132312000200
51132133241030
652233330400
711046126102
oct2336660040
9753024470
10326852640
11158555254
1291566a00
135294033a
14315a3572
151da65360
hex137b6020

326852640 has 144 divisors (see below), whose sum is σ = 1133974296. Its totient is φ = 85731840.

The previous prime is 326852639. The next prime is 326852663. The reversal of 326852640 is 46258623.

326852640 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 5 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11861136 + 314991504 = 3444^2 + 17748^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 326852595 and 326852604.

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, 5358210 + ... + 5358270.

Almost surely, 2326852640 is an apocalyptic number.

326852640 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 326852640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566987148).

326852640 is an abundant number, since it is smaller than the sum of its proper divisors (807121656).

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

326852640 is an frugal number, since it uses more digits than its factorization.

326852640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 326852640 is about 18079.0663475745. The cubic root of 326852640 is about 688.8383731409.

The spelling of 326852640 in words is "three hundred twenty-six million, eight hundred fifty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 288 305 360 366 480 488 549 610 720 732 915 976 1098 1220 1440 1464 1830 1952 2196 2440 2745 2928 3660 3721 4392 4880 5490 5856 7320 7442 8784 9760 10980 11163 14640 14884 17568 18605 21960 22326 29280 29768 33489 37210 43920 44652 55815 59536 66978 74420 87840 89304 111630 119072 133956 148840 167445 178608 223260 226981 267912 297680 334890 357216 446520 453962 535824 595360 669780 680943 893040 907924 1071648 1134905 1339560 1361886 1786080 1815848 2042829 2269810 2679120 2723772 3404715 3631696 4085658 4539620 5358240 5447544 6809430 7263392 8171316 9079240 10214145 10895088 13618860 16342632 18158480 20428290 21790176 27237720 32685264 36316960 40856580 54475440 65370528 81713160 108950880 163426320 326852640