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90341376 = 2153919
BaseRepresentation
bin1010110001010…
…00000000000000
320021222211001220
411120220000000
5141111411001
612544155040
72144613636
oct530500000
9207884056
1090341376
1146aa48a4
1226308a80
1315941448
14bdd9356
157de7c36
hex5628000

90341376 has 64 divisors (see below), whose sum is σ = 241168800. Its totient is φ = 30081024.

The previous prime is 90341359. The next prime is 90341387. The reversal of 90341376 is 67314309.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97845 + ... + 98763.

Almost surely, 290341376 is an apocalyptic number.

90341376 is a gapful number since it is divisible by the number (96) 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 90341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120584400).

90341376 is an abundant number, since it is smaller than the sum of its proper divisors (150827424).

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

90341376 is an frugal number, since it uses more digits than its factorization.

90341376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 90341376 is about 9504.8080464573. The cubic root of 90341376 is about 448.7063686652.

The spelling of 90341376 in words is "ninety million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 919 1024 1536 1838 2048 2757 3072 3676 4096 5514 6144 7352 8192 11028 12288 14704 16384 22056 24576 29408 32768 44112 49152 58816 88224 98304 117632 176448 235264 352896 470528 705792 941056 1411584 1882112 2823168 3764224 5646336 7528448 11292672 15056896 22585344 30113792 45170688 90341376