Search a number
-
+
325428600 = 233527211069
BaseRepresentation
bin10011011001011…
…010010101111000
3211200100111010010
4103121122111320
51131302203400
652143021520
711031045300
oct2331322570
9750314103
10325428600
11157772362
1290b9a8a0
1352562103
1431312600
151d883450
hex1365a578

325428600 has 144 divisors (see below), whose sum is σ = 1173641400. Its totient is φ = 74376960.

The previous prime is 325428557. The next prime is 325428617. The reversal of 325428600 is 6824523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 23866 + ... + 34934.

Almost surely, 2325428600 is an apocalyptic number.

325428600 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 325428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586820700).

325428600 is an abundant number, since it is smaller than the sum of its proper divisors (848212800).

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

325428600 is a wasteful number, since it uses less digits than its factorization.

325428600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11102 (or 11086 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 325428600 is about 18039.6396859804. The cubic root of 325428600 is about 687.8365338611.

It can be divided in two parts, 325428 and 600, that added together give a triangular number (326028 = T807).

The spelling of 325428600 in words is "three hundred twenty-five million, four hundred twenty-eight thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 11069 14700 22138 29400 33207 44276 55345 66414 77483 88552 110690 132828 154966 166035 221380 232449 265656 276725 309932 332070 387415 442760 464898 542381 553450 619864 664140 774830 830175 929796 1084762 1106900 1162245 1328280 1549660 1627143 1660350 1859592 1937075 2169524 2213800 2324490 2711905 3099320 3254286 3320700 3874150 4339048 4648980 5423810 5811225 6508572 6641400 7748300 8135715 9297960 10847620 11622450 13017144 13559525 15496600 16271430 21695240 23244900 27119050 32542860 40678575 46489800 54238100 65085720 81357150 108476200 162714300 325428600