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3480052776 = 2334117320443
BaseRepresentation
bin1100111101101101…
…0110010000101000
322222112022222221120
43033123112100220
524111343142101
61333153335240
7152144650314
oct31733262050
98875288846
103480052776
111526443182
12811567520
13435ca4235
14250288b44
151557bbb36
hexcf6d6428

3480052776 has 64 divisors (see below), whose sum is σ = 8964285120. Its totient is φ = 1125127680.

The previous prime is 3480052747. The next prime is 3480052781. The reversal of 3480052776 is 6772500843.

3480052776 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34800527763 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 160011 + ... + 180453.

It is an arithmetic number, because the mean of its divisors is an integer number (140066955).

Almost surely, 23480052776 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 3480052776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482142560).

3480052776 is an abundant number, since it is smaller than the sum of its proper divisors (5484232344).

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

3480052776 is a wasteful number, since it uses less digits than its factorization.

3480052776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20666 (or 20662 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 3480052776 is about 58991.9721318079. The cubic root of 3480052776 is about 1515.4046308893.

The spelling of 3480052776 in words is "three billion, four hundred eighty million, fifty-two thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 173 246 328 346 492 519 692 984 1038 1384 2076 4152 7093 14186 20443 21279 28372 40886 42558 56744 61329 81772 85116 122658 163544 170232 245316 490632 838163 1676326 2514489 3352652 3536639 5028978 6705304 7073278 10057956 10609917 14146556 20115912 21219834 28293112 42439668 84879336 145002199 290004398 435006597 580008796 870013194 1160017592 1740026388 3480052776