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434407403742 = 23138273673193
BaseRepresentation
bin1100101001001001011…
…00101111000011011110
31112112021121011120200120
412110210230233003132
524104131243404432
6531321454135410
743246010002314
oct6244454570336
91475247146616
10434407403742
1115825a722064
12702361b1566
1331c6cb59340
141704dad20b4
15b47741ec2c
hex6524b2f0de

434407403742 has 32 divisors (see below), whose sum is σ = 935761202208. Its totient is φ = 133647461376.

The previous prime is 434407403741. The next prime is 434407403743. The reversal of 434407403742 is 247304704434.

434407403742 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (434407403741) and next prime (434407403743).

It is a junction number, because it is equal to n+sod(n) for n = 434407403694 and 434407403703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434407403741) 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, 308698 + ... + 981890.

It is an arithmetic number, because the mean of its divisors is an integer number (29242537569).

Almost surely, 2434407403742 is an apocalyptic number.

434407403742 is an abundant number, since it is smaller than the sum of its proper divisors (501353798466).

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

434407403742 is a wasteful number, since it uses less digits than its factorization.

434407403742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681484.

The product of its (nonzero) digits is 903168, while the sum is 42.

The spelling of 434407403742 in words is "four hundred thirty-four billion, four hundred seven million, four hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 8273 16546 24819 49638 107549 215098 322647 645294 673193 1346386 2019579 4039158 8751509 17503018 26254527 52509054 5569325689 11138651378 16707977067 33415954134 72401233957 144802467914 217203701871 434407403742