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434626740 = 223252414593
BaseRepresentation
bin11001111001111…
…110000010110100
31010021211022210200
4121321332002310
51342231023430
6111043320500
713525160232
oct3171760264
91107738720
10434626740
11203376559
12101680130
136c0764b2
1441a19952
1528253460
hex19e7e0b4

434626740 has 36 divisors (see below), whose sum is σ = 1318368324. Its totient is φ = 115900416.

The previous prime is 434626733. The next prime is 434626763. The reversal of 434626740 is 47626434.

It can be written as a sum of positive squares in 2 ways, for example, as 143856036 + 290770704 = 11994^2 + 17052^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 434626695 and 434626704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1207117 + ... + 1207476.

Almost surely, 2434626740 is an apocalyptic number.

It is an amenable number.

434626740 is an abundant number, since it is smaller than the sum of its proper divisors (883741584).

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

434626740 is a wasteful number, since it uses less digits than its factorization.

434626740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414608 (or 2414603 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 434626740 is about 20847.7034706464. The cubic root of 434626740 is about 757.4817039662.

The spelling of 434626740 in words is "four hundred thirty-four million, six hundred twenty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2414593 4829186 7243779 9658372 12072965 14487558 21731337 24145930 28975116 36218895 43462674 48291860 72437790 86925348 108656685 144875580 217313370 434626740