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34754100941 = 723971222311
BaseRepresentation
bin100000010111100000…
…010111111011001101
310022201001222020211202
4200113200113323031
51032134022212231
623544340555245
72340144661310
oct402740277315
9108631866752
1034754100941
111381486947a
12689b0b2b25
13337b2b8a91
1419799ba977
15d861ab5cb
hex817817ecd

34754100941 has 16 divisors (see below), whose sum is σ = 41488754688. Its totient is φ = 28464572400.

The previous prime is 34754100937. The next prime is 34754100989. The reversal of 34754100941 is 14900145743.

34754100941 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 34754100941 - 22 = 34754100937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34754100895 and 34754100904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34754160941) 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, 45176 + ... + 267486.

It is an arithmetic number, because the mean of its divisors is an integer number (2593047168).

Almost surely, 234754100941 is an apocalyptic number.

It is an amenable number.

34754100941 is a deficient number, since it is larger than the sum of its proper divisors (6734653747).

34754100941 is a wasteful number, since it uses less digits than its factorization.

34754100941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223312.

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 34754100941 in words is "thirty-four billion, seven hundred fifty-four million, one hundred thousand, nine hundred forty-one".

Divisors: 1 7 23 161 971 6797 22333 156331 222311 1556177 5113153 35792071 215863981 1511047867 4964871563 34754100941