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3428102720 = 26572218629
BaseRepresentation
bin1100110001010100…
…1011001001000000
322211220120122212102
43030111023021000
524010043241340
61324100045532
7150644251400
oct31425131100
98756518772
103428102720
1114aa090349
127b80938a8
134282b5363
14247404800
15150e59215
hexcc54b240

3428102720 has 84 divisors (see below), whose sum is σ = 9495975420. Its totient is φ = 1175344128.

The previous prime is 3428102707. The next prime is 3428102723. The reversal of 3428102720 is 272018243.

It can be written as a sum of positive squares in 2 ways, for example, as 1873850944 + 1554251776 = 43288^2 + 39424^2 .

It is not an unprimeable number, because it can be changed into a prime (3428102723) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93635 + ... + 124994.

Almost surely, 23428102720 is an apocalyptic number.

It is an amenable number.

3428102720 is an abundant number, since it is smaller than the sum of its proper divisors (6067872700).

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

3428102720 is a wasteful number, since it uses less digits than its factorization.

3428102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218660 (or 218643 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 3428102720 is about 58550.0018787361. The cubic root of 3428102720 is about 1507.8261660325.

The spelling of 3428102720 in words is "three billion, four hundred twenty-eight million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 218629 437258 874516 1093145 1530403 1749032 2186290 3060806 3498064 4372580 6121612 6996128 7652015 8745160 10712821 12243224 13992256 15304030 17490320 21425642 24486448 30608060 34980640 42851284 48972896 53564105 61216120 69961280 85702568 97945792 107128210 122432240 171405136 214256420 244864480 342810272 428512840 489728960 685620544 857025680 1714051360 3428102720