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90341400 = 23352172521
BaseRepresentation
bin1010110001010…
…00000000011000
320021222211002210
411120220000120
5141111411100
612544155120
72144614002
oct530500030
9207884083
1090341400
1146aa4916
1226308aa0
1315941466
14bdd9372
157de7c50
hex5628018

90341400 has 144 divisors (see below), whose sum is σ = 298072440. Its totient is φ = 22630400.

The previous prime is 90341387. The next prime is 90341413. The reversal of 90341400 is 414309.

It is an interprime number because it is at equal distance from previous prime (90341387) and next prime (90341413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 173140 + ... + 173660.

Almost surely, 290341400 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 90341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149036220).

90341400 is an abundant number, since it is smaller than the sum of its proper divisors (207731040).

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

90341400 is a wasteful number, since it uses less digits than its factorization.

90341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 90341400 is about 9504.8093089762. The cubic root of 90341400 is about 448.7064083995.

Adding to 90341400 its reverse (414309), we get a palindrome (90755709).

The spelling of 90341400 in words is "ninety million, three hundred forty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 25 30 34 40 50 51 60 68 75 85 100 102 120 136 150 170 200 204 255 289 300 340 408 425 510 521 578 600 680 850 867 1020 1042 1156 1275 1445 1563 1700 1734 2040 2084 2312 2550 2605 2890 3126 3400 3468 4168 4335 5100 5210 5780 6252 6936 7225 7815 8670 8857 10200 10420 11560 12504 13025 14450 15630 17340 17714 20840 21675 26050 26571 28900 31260 34680 35428 39075 43350 44285 52100 53142 57800 62520 70856 78150 86700 88570 104200 106284 132855 150569 156300 173400 177140 212568 221425 265710 301138 312600 354280 442850 451707 531420 602276 664275 752845 885700 903414 1062840 1204552 1328550 1505690 1771400 1806828 2258535 2657100 3011380 3613656 3764225 4517070 5314200 6022760 7528450 9034140 11292675 15056900 18068280 22585350 30113800 45170700 90341400