Search a number
-
+
326901400 = 235271032267
BaseRepresentation
bin10011011111000…
…001111010011000
3211210010022102021
4103133001322120
51132141321100
652234344224
711046421210
oct2337017230
9753108367
10326901400
11158588951
129158b074
13529595a7
14315b7240
151da74a1a
hex137c1e98

326901400 has 96 divisors (see below), whose sum is σ = 877443840. Its totient is φ = 110943360.

The previous prime is 326901397. The next prime is 326901431. The reversal of 326901400 is 4109623.

326901400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 143067 + ... + 145333.

It is an arithmetic number, because the mean of its divisors is an integer number (9140040).

Almost surely, 2326901400 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 326901400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438721920).

326901400 is an abundant number, since it is smaller than the sum of its proper divisors (550542440).

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

326901400 is a wasteful number, since it uses less digits than its factorization.

326901400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2384 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 326901400 is about 18080.4148182502. The cubic root of 326901400 is about 688.8726251604.

The spelling of 326901400 in words is "three hundred twenty-six million, nine hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 103 140 175 200 206 280 350 412 515 700 721 824 1030 1400 1442 2060 2267 2575 2884 3605 4120 4534 5150 5768 7210 9068 10300 11335 14420 15869 18025 18136 20600 22670 28840 31738 36050 45340 56675 63476 72100 79345 90680 113350 126952 144200 158690 226700 233501 317380 396725 453400 467002 634760 793450 934004 1167505 1586900 1634507 1868008 2335010 3173800 3269014 4670020 5837525 6538028 8172535 9340040 11675050 13076056 16345070 23350100 32690140 40862675 46700200 65380280 81725350 163450700 326901400