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34876929340 = 225111943613181
BaseRepresentation
bin100000011110110100…
…111011010100111100
310100000122002120201201
4200132310323110330
51032411443214330
624004445345244
72343166002511
oct403664732474
9110018076651
1034876929340
1113878132250
126914268224
13339a8931c6
14198c031308
15d91d6eeca
hex81ed3b53c

34876929340 has 192 divisors, whose sum is σ = 87499399680. Its totient is φ = 11539584000.

The previous prime is 34876929337. The next prime is 34876929349. The reversal of 34876929340 is 4392967843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34876929349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10962550 + ... + 10965730.

It is an arithmetic number, because the mean of its divisors is an integer number (455726040).

Almost surely, 234876929340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34876929340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43749699840).

34876929340 is an abundant number, since it is smaller than the sum of its proper divisors (52622470340).

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

34876929340 is a wasteful number, since it uses less digits than its factorization.

34876929340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 34876929340 in words is "thirty-four billion, eight hundred seventy-six million, nine hundred twenty-nine thousand, three hundred forty".