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215480034 = 233711291787
BaseRepresentation
bin11001101011111…
…11011011100010
3120000110112001000
430311333123202
5420130330114
633214252430
75224356450
oct1465773342
9500415030
10215480034
111006a6380
12601b7116
13358472a3
14208919d0
1513db5e09
hexcd7f6e2

215480034 has 128 divisors (see below), whose sum is σ = 617932800. Its totient is φ = 54008640.

The previous prime is 215479997. The next prime is 215480047. The reversal of 215480034 is 430084512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119689 + ... + 121475.

It is an arithmetic number, because the mean of its divisors is an integer number (4827600).

Almost surely, 2215480034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215480034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308966400).

215480034 is an abundant number, since it is smaller than the sum of its proper divisors (402452766).

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

215480034 is a wasteful number, since it uses less digits than its factorization.

215480034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 215480034 is about 14679.2381954923. The cubic root of 215480034 is about 599.5181631590.

It can be divided in two parts, 215 and 480034, that added together give a square (480249 = 6932).

The spelling of 215480034 in words is "two hundred fifteen million, four hundred eighty thousand, thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 29 33 42 54 58 63 66 77 87 99 126 154 174 189 198 203 231 261 297 319 378 406 462 522 594 609 638 693 783 957 1218 1386 1566 1787 1827 1914 2079 2233 2871 3574 3654 4158 4466 5361 5481 5742 6699 8613 10722 10962 12509 13398 16083 17226 19657 20097 25018 32166 37527 39314 40194 48249 51823 58971 60291 75054 96498 103646 112581 117942 120582 137599 155469 176913 225162 275198 310938 337743 353826 362761 412797 466407 530739 570053 675486 725522 825594 932814 1061478 1088283 1140106 1238391 1399221 1710159 2176566 2476782 2798442 3264849 3420318 3715173 3990371 5130477 6529698 7430346 7980742 9794547 10260954 11971113 15391431 19589094 23942226 30782862 35913339 71826678 107740017 215480034