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3402113130 = 2335134322541
BaseRepresentation
bin1100101011001000…
…0010000001101010
322210002200020212000
43022302002001222
523431420110010
61321331031430
7150210325113
oct31262020152
98702606760
103402113130
111496449a49
127ab43b576
13422ab58c0
14243b9b20a
1514da237c0
hexcac8206a

3402113130 has 128 divisors (see below), whose sum is σ = 9997827840. Its totient is φ = 817931520.

The previous prime is 3402113119. The next prime is 3402113147. The reversal of 3402113130 is 313112043.

3402113130 is a `hidden beast` number, since 340 + 2 + 11 + 313 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 139660 + ... + 162200.

It is an arithmetic number, because the mean of its divisors is an integer number (78108030).

Almost surely, 23402113130 is an apocalyptic number.

3402113130 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 3402113130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998913920).

3402113130 is an abundant number, since it is smaller than the sum of its proper divisors (6595714710).

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

3402113130 is a wasteful number, since it uses less digits than its factorization.

3402113130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22613 (or 22607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3402113130 is about 58327.6360741630. The cubic root of 3402113130 is about 1504.0060515096.

Adding to 3402113130 its reverse (313112043), we get a palindrome (3715225173).

The spelling of 3402113130 in words is "three billion, four hundred two million, one hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 78 86 90 117 129 130 135 195 215 234 258 270 351 387 390 430 559 585 645 702 774 1118 1161 1170 1290 1677 1755 1935 2322 2795 3354 3510 3870 5031 5590 5805 8385 10062 11610 15093 16770 22541 25155 30186 45082 50310 67623 75465 112705 135246 150930 202869 225410 293033 338115 405738 586066 608607 676230 879099 969263 1014345 1217214 1465165 1758198 1938526 2028690 2637297 2907789 2930330 3043035 4395495 4846315 5274594 5815578 6086070 7911891 8723367 8790990 9692630 12600419 13186485 14538945 15823782 17446734 25200838 26170101 26372970 29077890 37801257 39559455 43616835 52340202 63002095 75602514 79118910 87233670 113403771 126004190 130850505 189006285 226807542 261701010 340211313 378012570 567018855 680422626 1134037710 1701056565 3402113130