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434958940 = 225131798407
BaseRepresentation
bin11001111011001…
…111001001011100
31010022110012111101
4121323033021130
51342322141230
6111054402444
713531042603
oct3173171134
91108405441
10434958940
112035830a9
12101800424
136c161770
1441aa4a3a
15282bbaca
hex19ecf25c

434958940 has 48 divisors (see below), whose sum is σ = 1041550272. Its totient is φ = 151151616.

The previous prime is 434958919. The next prime is 434958949. The reversal of 434958940 is 49859434.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434958949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44784 + ... + 53623.

It is an arithmetic number, because the mean of its divisors is an integer number (21698964).

Almost surely, 2434958940 is an apocalyptic number.

It is an amenable number.

434958940 is an abundant number, since it is smaller than the sum of its proper divisors (606591332).

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

434958940 is a wasteful number, since it uses less digits than its factorization.

434958940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98446 (or 98444 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 434958940 is about 20855.6692532270. The cubic root of 434958940 is about 757.6746444942.

The spelling of 434958940 in words is "four hundred thirty-four million, nine hundred fifty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 98407 196814 393628 492035 984070 1279291 1672919 1968140 2558582 3345838 5117164 6396455 6691676 8364595 12792910 16729190 21747947 25585820 33458380 43495894 86991788 108739735 217479470 434958940