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342893720 = 235132232957
BaseRepresentation
bin10100011100000…
…010010010011000
3212220012210202102
4110130002102120
51200240044340
654005222532
711332356101
oct2434022230
9786183672
10342893720
11166611144
1296a01a48
13560687c0
143377b3a8
1520183215
hex14702498

342893720 has 64 divisors (see below), whose sum is σ = 834865920. Its totient is φ = 125996544.

The previous prime is 342893713. The next prime is 342893731. The reversal of 342893720 is 27398243.

It is a happy number.

It is a super-2 number, since 2×3428937202 = 235152206430876800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114482 + ... + 117438.

It is an arithmetic number, because the mean of its divisors is an integer number (13044780).

Almost surely, 2342893720 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 342893720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417432960).

342893720 is an abundant number, since it is smaller than the sum of its proper divisors (491972200).

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

342893720 is a wasteful number, since it uses less digits than its factorization.

342893720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The square root of 342893720 is about 18517.3896648529. The cubic root of 342893720 is about 699.9276932116.

The spelling of 342893720 in words is "three hundred forty-two million, eight hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1784 2230 2899 2957 4460 5798 5914 8920 11596 11828 14495 14785 23192 23656 28990 29570 38441 57980 59140 76882 115960 118280 153764 192205 307528 384410 659411 768820 1318822 1537640 2637644 3297055 5275288 6594110 8572343 13188220 17144686 26376440 34289372 42861715 68578744 85723430 171446860 342893720