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426364320 = 25353724007
BaseRepresentation
bin11001011010011…
…100110110100000
31002201021112220010
4121122130312200
51333122124240
6110150244520
713365015444
oct3132346640
91081245803
10426364320
111a9742908
12ba956740
136a4427a5
14408a8824
1527670280
hex1969cda0

426364320 has 96 divisors (see below), whose sum is σ = 1379403648. Its totient is φ = 110619648.

The previous prime is 426364303. The next prime is 426364321. The reversal of 426364320 is 23463624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (426364321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5757 + ... + 29763.

It is an arithmetic number, because the mean of its divisors is an integer number (14368788).

Almost surely, 2426364320 is an apocalyptic number.

426364320 is a gapful number since it is divisible by the number (40) 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 426364320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689701824).

426364320 is an abundant number, since it is smaller than the sum of its proper divisors (953039328).

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

426364320 is a wasteful number, since it uses less digits than its factorization.

426364320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24062 (or 24054 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 426364320 is about 20648.5912352393. The cubic root of 426364320 is about 752.6509566431.

The spelling of 426364320 in words is "four hundred twenty-six million, three hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 24007 48014 72021 96028 120035 144042 192056 240070 288084 360105 384112 480140 576168 720210 768224 888259 960280 1152336 1440420 1776518 1920560 2304672 2664777 2880840 3553036 3841120 4441295 5329554 5761680 7106072 8882590 10659108 11523360 13323885 14212144 17765180 21318216 26647770 28424288 35530360 42636432 53295540 71060720 85272864 106591080 142121440 213182160 426364320