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3411741036 = 223114167972
BaseRepresentation
bin1100101101011011…
…0000100101101100
322210202210101212010
43023112300211230
523441401203121
61322313241220
7150355214604
oct31326604554
98722711763
103411741036
1114a09255a0
127b2703210
13424aa6ca2
14245185c04
1514e7c6376
hexcb5b096c

3411741036 has 144 divisors (see below), whose sum is σ = 9123069312. Its totient is φ = 983347200.

The previous prime is 3411741019. The next prime is 3411741043. The reversal of 3411741036 is 6301471143.

3411741036 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3411740994 and 3411741012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35172540 + ... + 35172636.

It is an arithmetic number, because the mean of its divisors is an integer number (63354648).

Almost surely, 23411741036 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 3411741036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4561534656).

3411741036 is an abundant number, since it is smaller than the sum of its proper divisors (5711328276).

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

3411741036 is a wasteful number, since it uses less digits than its factorization.

3411741036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 3411741036 is about 58410.1107343583. The cubic root of 3411741036 is about 1505.4234833629.

It can be divided in two parts, 3411 and 741036, that added together give a palindrome (744447).

The spelling of 3411741036 in words is "three billion, four hundred eleven million, seven hundred forty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 67 82 97 123 132 134 164 194 201 246 268 291 388 402 451 492 582 737 804 902 1067 1164 1353 1474 1804 2134 2211 2706 2747 2948 3201 3977 4268 4422 5412 5494 6402 6499 7954 8241 8844 9409 10988 11931 12804 12998 15908 16482 18818 19497 23862 25996 28227 30217 32964 37636 38994 43747 47724 56454 60434 71489 77988 87494 90651 103499 112908 120868 131241 142978 174988 181302 206998 214467 262482 266459 285956 310497 362604 385769 413996 428934 524964 532918 620994 630403 771538 799377 857868 1065836 1157307 1241988 1260806 1543076 1598754 1891209 2314614 2521612 2931049 3197508 3782418 4243459 4629228 5862098 6934433 7564836 8486918 8793147 11724196 12730377 13868866 16973836 17586294 20803299 25460754 25846523 27737732 35172588 41606598 50921508 51693046 77539569 83213196 103386092 155079138 284311753 310158276 568623506 852935259 1137247012 1705870518 3411741036