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34276545040 = 2457122327061
BaseRepresentation
bin11111111011000010…
…101001001000010000
310021110210100220022011
4133323002221020100
51030144243420130
623425121152304
72322255553123
oct377302511020
9107423326264
1034276545040
111359a241681
12678718b694
13330339171a
1419323c83ba
15d592c852a
hex7fb0a9210

34276545040 has 80 divisors (see below), whose sum is σ = 81180804096. Its totient is φ = 13456396800.

The previous prime is 34276545019. The next prime is 34276545059. The reversal of 34276545040 is 4054567243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34276544984 and 34276545002.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1253110 + ... + 1280170.

Almost surely, 234276545040 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 34276545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40590402048).

34276545040 is an abundant number, since it is smaller than the sum of its proper divisors (46904259056).

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

34276545040 is a wasteful number, since it uses less digits than its factorization.

34276545040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27368 (or 27362 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 40.

The spelling of 34276545040 in words is "thirty-four billion, two hundred seventy-six million, five hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 223 284 355 446 568 710 892 1115 1136 1420 1784 2230 2840 3568 4460 5680 8920 15833 17840 27061 31666 54122 63332 79165 108244 126664 135305 158330 216488 253328 270610 316660 432976 541220 633320 1082440 1266640 1921331 2164880 3842662 6034603 7685324 9606655 12069206 15370648 19213310 24138412 30173015 30741296 38426620 48276824 60346030 76853240 96553648 120692060 153706480 241384120 428456813 482768240 856913626 1713827252 2142284065 3427654504 4284568130 6855309008 8569136260 17138272520 34276545040