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34112120430 = 2351559729359
BaseRepresentation
bin11111110001001111…
…011010011001101110
310021001022222021010210
4133301033122121232
51024330200323210
623400525043250
72315221145103
oct376117323156
9107038867123
1034112120430
1113515447a73
1267400b6526
1332a82b205b
141918626aaa
15d49b49e20
hex7f13da66e

34112120430 has 32 divisors (see below), whose sum is σ = 81921715200. Its totient is φ = 9090718112.

The previous prime is 34112120369. The next prime is 34112120431. The reversal of 34112120430 is 3402121143.

It is a junction number, because it is equal to n+sod(n) for n = 34112120397 and 34112120406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34112120431) 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, 317910 + ... + 411449.

It is an arithmetic number, because the mean of its divisors is an integer number (2560053600).

Almost surely, 234112120430 is an apocalyptic number.

34112120430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34112120430 is an abundant number, since it is smaller than the sum of its proper divisors (47809594770).

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

34112120430 is a wasteful number, since it uses less digits than its factorization.

34112120430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730928.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 34112120430 its reverse (3402121143), we get a palindrome (37514241573).

The spelling of 34112120430 in words is "thirty-four billion, one hundred twelve million, one hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1559 3118 4677 7795 9354 15590 23385 46770 729359 1458718 2188077 3646795 4376154 7293590 10940385 21880770 1137070681 2274141362 3411212043 5685353405 6822424086 11370706810 17056060215 34112120430