Search a number
-
+
328920700 = 225223831723
BaseRepresentation
bin10011100110101…
…110111001111100
3211220220220101011
4103212232321330
51133200430300
652345525004
711102531323
oct2346567174
9756826334
10328920700
11159737a99
12921a3764
13531b5744
14319810ba
151dd22eba
hex139aee7c

328920700 has 72 divisors (see below), whose sum is σ = 754201728. Its totient is φ = 124259520.

The previous prime is 328920673. The next prime is 328920701. The reversal of 328920700 is 7029823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328920701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190039 + ... + 191761.

It is an arithmetic number, because the mean of its divisors is an integer number (10475024).

Almost surely, 2328920700 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 328920700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377100864).

328920700 is an abundant number, since it is smaller than the sum of its proper divisors (425281028).

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

328920700 is a wasteful number, since it uses less digits than its factorization.

328920700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 328920700 is about 18136.1710402168. The cubic root of 328920700 is about 690.2881244372.

The spelling of 328920700 in words is "three hundred twenty-eight million, nine hundred twenty thousand, seven hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 83 92 100 115 166 230 332 415 460 575 830 1150 1660 1723 1909 2075 2300 3446 3818 4150 6892 7636 8300 8615 9545 17230 19090 34460 38180 39629 43075 47725 79258 86150 95450 143009 158516 172300 190900 198145 286018 396290 572036 715045 792580 990725 1430090 1981450 2860180 3289207 3575225 3962900 6578414 7150450 13156828 14300900 16446035 32892070 65784140 82230175 164460350 328920700