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328696900 = 225274372
BaseRepresentation
bin10011100101111…
…000010001000100
3211220111112101021
4103211320101010
51133121300100
652341040524
711100610000
oct2345702104
9756445337
10328696900
111595a4934
12920b6144
135313790c
1431923700
151dccba1a
hex13978444

328696900 has 135 divisors (see below), whose sum is σ = 855198519. Its totient is φ = 109650240.

The previous prime is 328696883. The next prime is 328696909. The reversal of 328696900 is 9696823.

The square root of 328696900 is 18130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 297493504 = 5586^2 + 17248^2 .

It is a super-2 number, since 2×3286969002 = 216083304139220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (328696909) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8883682 + ... + 8883718.

Almost surely, 2328696900 is an apocalyptic number.

328696900 is the 18130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 328696900

328696900 is an abundant number, since it is smaller than the sum of its proper divisors (526501619).

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

328696900 is an equidigital number, since it uses as much as digits as its factorization.

328696900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The cubic root of 328696900 is about 690.1315299212.

The spelling of 328696900 in words is "three hundred twenty-eight million, six hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 49 50 70 74 98 100 140 148 175 185 196 245 259 343 350 370 490 518 686 700 740 925 980 1036 1225 1295 1369 1372 1715 1813 1850 2401 2450 2590 2738 3430 3626 3700 4802 4900 5180 5476 6475 6845 6860 7252 8575 9065 9583 9604 12005 12691 12950 13690 17150 18130 19166 24010 25382 25900 27380 34225 34300 36260 38332 45325 47915 48020 50764 60025 63455 67081 68450 88837 90650 95830 120050 126910 134162 136900 177674 181300 191660 239575 240100 253820 268324 317275 335405 355348 444185 469567 479150 634550 670810 888370 939134 958300 1269100 1341620 1677025 1776740 1878268 2220925 2347835 3286969 3354050 4441850 4695670 6573938 6708100 8883700 9391340 11739175 13147876 16434845 23478350 32869690 46956700 65739380 82174225 164348450 328696900