Search a number
-
+
328025823030 = 232541199446713
BaseRepresentation
bin1001100010111111101…
…11001101011100110110
31011100200200110100102200
410301133313031130312
520333244102314110
6410405403445330
732461533330243
oct4613767153466
91140620410380
10328025823030
1111712a030a14
12536a7226846
1324c181bb349
1411c3b2d45ca
1587ecd266c0
hex4c5fdcd736

328025823030 has 96 divisors (see below), whose sum is σ = 878061038400. Its totient is φ = 84911016960.

The previous prime is 328025823029. The next prime is 328025823031. The reversal of 328025823030 is 30328520823.

It is a happy number.

328025823030 is a `hidden beast` number, since 328 + 0 + 25 + 8 + 2 + 303 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (328025823029) and next prime (328025823031).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328025823031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 510954 + ... + 957666.

It is an arithmetic number, because the mean of its divisors is an integer number (9146469150).

Almost surely, 2328025823030 is an apocalyptic number.

328025823030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 328025823030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439030519200).

328025823030 is an abundant number, since it is smaller than the sum of its proper divisors (550035215370).

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

328025823030 is a wasteful number, since it uses less digits than its factorization.

328025823030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446966 (or 446963 counting only the distinct ones).

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

The spelling of 328025823030 in words is "three hundred twenty-eight billion, twenty-five million, eight hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 199 205 246 369 398 410 597 615 738 995 1194 1230 1791 1845 1990 2985 3582 3690 5970 8159 8955 16318 17910 24477 40795 48954 73431 81590 122385 146862 244770 367155 446713 734310 893426 1340139 2233565 2680278 4020417 4467130 6700695 8040834 13401390 18315233 20102085 36630466 40204170 54945699 88895887 91576165 109891398 164837097 177791774 183152330 266687661 274728495 329674194 444479435 533375322 549456990 800062983 824185485 888958870 1333438305 1600125966 1648370970 2666876610 3644731367 4000314915 7289462734 8000629830 10934194101 18223656835 21868388202 32802582303 36447313670 54670970505 65605164606 109341941010 164012911515 328025823030