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3420305028 = 223472935147
BaseRepresentation
bin1100101111011101…
…1011011010000100
322211100220111110000
43023313123122010
524001044230103
61323221001300
7150521053530
oct31367333204
98740814400
103420305028
1114a5744878
127b5553230
134267b503a
14246374bc0
15150418aa3
hexcbddb684

3420305028 has 120 divisors (see below), whose sum is σ = 10255557312. Its totient is φ = 973705536.

The previous prime is 3420305027. The next prime is 3420305033. The reversal of 3420305028 is 8205030243.

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

It is a junction number, because it is equal to n+sod(n) for n = 3420304992 and 3420305010.

It is not an unprimeable number, because it can be changed into a prime (3420305023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 661951 + ... + 667097.

Almost surely, 23420305028 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 3420305028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5127778656).

3420305028 is an abundant number, since it is smaller than the sum of its proper divisors (6835252284).

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

3420305028 is a wasteful number, since it uses less digits than its factorization.

3420305028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5463 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3420305028 is about 58483.3739450795. The cubic root of 3420305028 is about 1506.6820453134.

The spelling of 3420305028 in words is "three billion, four hundred twenty million, three hundred five thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 293 324 378 567 586 756 879 1134 1172 1758 2051 2268 2637 3516 4102 5147 5274 6153 7911 8204 10294 10548 12306 15441 15822 18459 20588 23733 24612 30882 31644 36029 36918 46323 47466 55377 61764 72058 73836 92646 94932 108087 110754 138969 144116 166131 185292 216174 221508 277938 324261 332262 416907 432348 555876 648522 664524 833814 972783 1297044 1508071 1667628 1945566 2918349 3016142 3891132 4524213 5836698 6032284 9048426 10556497 11673396 13572639 18096852 21112994 27145278 31669491 40717917 42225988 54290556 63338982 81435834 95008473 122153751 126677964 162871668 190016946 244307502 285025419 380033892 488615004 570050838 855076257 1140101676 1710152514 3420305028