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3402076740 = 2235233766629
BaseRepresentation
bin1100101011000111…
…1001001001000100
322210002121101221020
43022301321021010
523431412423430
61321330151140
7150210114036
oct31261711104
98702541836
103402076740
111496424677
127ab4224b0
13422aa217a
14243b8bc56
1514da17b10
hexcac79244

3402076740 has 96 divisors (see below), whose sum is σ = 10208782080. Its totient is φ = 844310016.

The previous prime is 3402076697. The next prime is 3402076753. The reversal of 3402076740 is 476702043.

It is a super-2 number, since 2×34020767402 = 23148252289698055200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17746 + ... + 84374.

It is an arithmetic number, because the mean of its divisors is an integer number (106341480).

Almost surely, 23402076740 is an apocalyptic number.

3402076740 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3402076740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5104391040).

3402076740 is an abundant number, since it is smaller than the sum of its proper divisors (6806705340).

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

3402076740 is a wasteful number, since it uses less digits than its factorization.

3402076740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66701 (or 66699 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 3402076740 is about 58327.3241285763. The cubic root of 3402076740 is about 1504.0006890605. Note that the first 3 decimals are identical.

Adding to 3402076740 its reverse (476702043), we get a palindrome (3878778783).

The spelling of 3402076740 in words is "three billion, four hundred two million, seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1380 1702 2220 2553 3404 4255 5106 8510 10212 12765 17020 25530 51060 66629 133258 199887 266516 333145 399774 666290 799548 999435 1332580 1532467 1998870 2465273 3064934 3997740 4597401 4930546 6129868 7395819 7662335 9194802 9861092 12326365 14791638 15324670 18389604 22987005 24652730 29583276 30649340 36979095 45974010 49305460 56701279 73958190 91948020 113402558 147916380 170103837 226805116 283506395 340207674 567012790 680415348 850519185 1134025580 1701038370 3402076740