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328361400 = 233252182423
BaseRepresentation
bin10011100100100…
…110010110111000
3211212212111011100
4103210212112320
51133030031100
652325531400
711065011603
oct2344462670
9755774140
10328361400
11159395864
1291b73b60
135304acb3
143187733a
151dc62400
hex139265b8

328361400 has 72 divisors (see below), whose sum is σ = 1102753080. Its totient is φ = 87562560.

The previous prime is 328361399. The next prime is 328361417. The reversal of 328361400 is 4163823.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89412 + ... + 93011.

It is an arithmetic number, because the mean of its divisors is an integer number (15316015).

Almost surely, 2328361400 is an apocalyptic number.

328361400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328361400 is an abundant number, since it is smaller than the sum of its proper divisors (774391680).

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

328361400 is a wasteful number, since it uses less digits than its factorization.

328361400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182445 (or 182433 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 328361400 is about 18120.7450177966. The cubic root of 328361400 is about 689.8966448847.

The spelling of 328361400 in words is "three hundred twenty-eight million, three hundred sixty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 182423 364846 547269 729692 912115 1094538 1459384 1641807 1824230 2189076 2736345 3283614 3648460 4378152 4560575 5472690 6567228 7296920 8209035 9121150 10945380 13134456 13681725 16418070 18242300 21890760 27363450 32836140 36484600 41045175 54726900 65672280 82090350 109453800 164180700 328361400