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34045346140 = 22513177702567
BaseRepresentation
bin11111101101010000…
…101100000101011100
310020212200022210000221
4133231100230011130
51024211102034030
623350141531124
72313450444631
oct375520540534
9106780283027
1034045346140
111349078a503
126721873aa4
133297502840
14190d804188
15d43d59e7a
hex7ed42c15c

34045346140 has 48 divisors (see below), whose sum is σ = 81523979712. Its totient is φ = 11831141376.

The previous prime is 34045346117. The next prime is 34045346141. The reversal of 34045346140 is 4164354043.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 34045346096 and 34045346105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34045346141) 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, 3846864 + ... + 3855703.

It is an arithmetic number, because the mean of its divisors is an integer number (1698416244).

Almost surely, 234045346140 is an apocalyptic number.

It is an amenable number.

34045346140 is an abundant number, since it is smaller than the sum of its proper divisors (47478633572).

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

34045346140 is a wasteful number, since it uses less digits than its factorization.

34045346140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7702606 (or 7702604 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 34.

The spelling of 34045346140 in words is "thirty-four billion, forty-five million, three hundred forty-six thousand, one 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 7702567 15405134 30810268 38512835 77025670 100133371 130943639 154051340 200266742 261887278 400533484 500666855 523774556 654718195 1001333710 1309436390 1702267307 2002667420 2618872780 3404534614 6809069228 8511336535 17022673070 34045346140