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296428340 = 225131676827
BaseRepresentation
bin10001101010110…
…010001100110100
3202122210010020102
4101222302030310
51101341201330
645225253232
710226412365
oct2152621464
9678703212
10296428340
11142364aaa
1283334218
134954a1b0
142b523b6c
151b055945
hex11ab2334

296428340 has 48 divisors (see below), whose sum is σ = 674497152. Its totient is φ = 108779136.

The previous prime is 296428339. The next prime is 296428357. The reversal of 296428340 is 43824692.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 296428294 and 296428303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40007 + ... + 46833.

It is an arithmetic number, because the mean of its divisors is an integer number (14052024).

Almost surely, 2296428340 is an apocalyptic number.

296428340 is a gapful number since it is divisible by the number (20) 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 296428340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337248576).

296428340 is an abundant number, since it is smaller than the sum of its proper divisors (378068812).

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

296428340 is a wasteful number, since it uses less digits than its factorization.

296428340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 296428340 is about 17217.0944122404. The cubic root of 296428340 is about 666.7656847368.

The spelling of 296428340 in words is "two hundred ninety-six million, four hundred twenty-eight thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 167 260 334 668 835 1670 2171 3340 4342 6827 8684 10855 13654 21710 27308 34135 43420 68270 88751 136540 177502 355004 443755 887510 1140109 1775020 2280218 4560436 5700545 11401090 14821417 22802180 29642834 59285668 74107085 148214170 296428340