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3374833540 = 22513176112517
BaseRepresentation
bin1100100100100111…
…1101111110000100
322201012100022021211
43021021331332010
523402424133130
61314514221204
7146426416561
oct31111757604
98635308254
103374833540
111482007431
127a2284804
1341a253c30
142402d9868
1514b435a2a
hexc927df84

3374833540 has 96 divisors (see below), whose sum is σ = 8214411744. Its totient is φ = 1153474560.

The previous prime is 3374833513. The next prime is 3374833547. The reversal of 3374833540 is 453384733.

It can be written as a sum of positive squares in 16 ways, for example, as 910108224 + 2464725316 = 30168^2 + 49646^2 .

It is a super-2 number, since 2×33748335402 = 22779002845417863200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3374833493 and 3374833502.

It is not an unprimeable number, because it can be changed into a prime (3374833547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263362 + ... + 275878.

It is an arithmetic number, because the mean of its divisors is an integer number (85566789).

Almost surely, 23374833540 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 3374833540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4107205872).

3374833540 is an abundant number, since it is smaller than the sum of its proper divisors (4839578204).

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

3374833540 is a wasteful number, since it uses less digits than its factorization.

3374833540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12617 (or 12615 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 40.

The square root of 3374833540 is about 58093.3175158727. The cubic root of 3374833540 is about 1499.9753388538.

The spelling of 3374833540 in words is "three billion, three hundred seventy-four million, eight hundred thirty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 61 65 68 85 122 130 170 221 244 260 305 340 442 610 793 884 1037 1105 1220 1586 2074 2210 3172 3965 4148 4420 5185 7930 10370 12517 13481 15860 20740 25034 26962 50068 53924 62585 67405 125170 134810 162721 212789 250340 269620 325442 425578 650884 763537 813605 851156 1063945 1527074 1627210 2127890 2766257 3054148 3254420 3817685 4255780 5532514 7635370 9925981 11065028 12980129 13831285 15270740 19851962 25960258 27662570 39703924 49629905 51920516 55325140 64900645 99259810 129801290 168741677 198519620 259602580 337483354 674966708 843708385 1687416770 3374833540