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3734240466 = 23113731117
BaseRepresentation
bin1101111010010011…
…1111110011010010
3100122020122001220110
43132210333303102
530121431143331
61414313422150
7161352343305
oct33644776322
910566561813
103734240466
111646977150
1288270a956
13476851a58
14275d34b3c
1516cc7b946
hexde93fcd2

3734240466 has 64 divisors (see below), whose sum is σ = 8381243520. Its totient is φ = 1100018880.

The previous prime is 3734240459. The next prime is 3734240473. The reversal of 3734240466 is 6640424373.

It is an interprime number because it is at equal distance from previous prime (3734240459) and next prime (3734240473).

It is a Curzon number.

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, 3342540 + ... + 3343656.

It is an arithmetic number, because the mean of its divisors is an integer number (130956930).

Almost surely, 23734240466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3734240466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190621760).

3734240466 is an abundant number, since it is smaller than the sum of its proper divisors (4647003054).

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

3734240466 is a wasteful number, since it uses less digits than its factorization.

3734240466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The square root of 3734240466 is about 61108.4320368311. The cubic root of 3734240466 is about 1551.4368176711.

The spelling of 3734240466 in words is "three billion, seven hundred thirty-four million, two hundred forty thousand, four hundred sixty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1117 1221 1369 2234 2442 2738 3351 4107 6702 8214 12287 15059 24574 30118 36861 41329 45177 50653 73722 82658 90354 101306 123987 151959 247974 303918 454619 557183 909238 1114366 1363857 1529173 1671549 2727714 3058346 3343098 4587519 9175038 16820903 33641806 50462709 56579401 100925418 113158802 169738203 339476406 622373411 1244746822 1867120233 3734240466