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3428699010 = 23511231273557
BaseRepresentation
bin1100110001011101…
…1100101110000010
322211221200221211020
43030113130232002
524010221332020
61324120530310
7150652314012
oct31427345602
98757627736
103428699010
1114aa458350
127b8320996
134284638a9
1424751bc42
15151025c40
hexcc5dcb82

3428699010 has 128 divisors (see below), whose sum is σ = 9443672064. Its totient is φ = 788578560.

The previous prime is 3428699003. The next prime is 3428699011. The reversal of 3428699010 is 109968243.

3428699010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3428699011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 962152 + ... + 965708.

It is an arithmetic number, because the mean of its divisors is an integer number (73778688).

Almost surely, 23428699010 is an apocalyptic number.

3428699010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428699010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721836032).

3428699010 is an abundant number, since it is smaller than the sum of its proper divisors (6014973054).

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

3428699010 is a wasteful number, since it uses less digits than its factorization.

3428699010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728.

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3428699010 is about 58555.0938006251. The cubic root of 3428699010 is about 1507.9135855775.

The spelling of 3428699010 in words is "three billion, four hundred twenty-eight million, six hundred ninety-nine thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 127 138 165 230 253 254 330 345 381 506 635 690 759 762 1265 1270 1397 1518 1905 2530 2794 2921 3557 3795 3810 4191 5842 6985 7114 7590 8382 8763 10671 13970 14605 17526 17785 20955 21342 29210 32131 35570 39127 41910 43815 53355 64262 78254 81811 87630 96393 106710 117381 160655 163622 192786 195635 234762 245433 321310 391270 409055 451739 481965 490866 586905 818110 899921 903478 963930 1173810 1227165 1355217 1799842 2258695 2454330 2699763 2710434 4499605 4517390 4969129 5399526 6776085 8999210 9938258 10389997 13498815 13552170 14907387 20779994 24845645 26997630 29814774 31169991 49691290 51949985 62339982 74536935 103899970 114289967 149073870 155849955 228579934 311699910 342869901 571449835 685739802 1142899670 1714349505 3428699010