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434655340 = 225731100151
BaseRepresentation
bin11001111010000…
…101000001101100
31010021212210000221
4121322011001230
51342232432330
6111044101124
713525336510
oct3172050154
91107783027
10434655340
11203395a99
121016947a4
136c086512
1441a26140
152825bb7a
hex19e8506c

434655340 has 48 divisors (see below), whose sum is σ = 1076834304. Its totient is φ = 144216000.

The previous prime is 434655329. The next prime is 434655367. The reversal of 434655340 is 43556434.

It is a junction number, because it is equal to n+sod(n) for n = 434655296 and 434655305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45736 + ... + 54415.

It is an arithmetic number, because the mean of its divisors is an integer number (22434048).

Almost surely, 2434655340 is an apocalyptic number.

It is an amenable number.

434655340 is an abundant number, since it is smaller than the sum of its proper divisors (642178964).

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

434655340 is a wasteful number, since it uses less digits than its factorization.

434655340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100198 (or 100196 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The square root of 434655340 is about 20848.3893862332. The cubic root of 434655340 is about 757.4983186070.

The spelling of 434655340 in words is "four hundred thirty-four million, six hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 124 140 155 217 310 434 620 868 1085 2170 4340 100151 200302 400604 500755 701057 1001510 1402114 2003020 2804228 3104681 3505285 6209362 7010570 12418724 14021140 15523405 21732767 31046810 43465534 62093620 86931068 108663835 217327670 434655340