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3729834540 = 223452302367
BaseRepresentation
bin1101111001010000…
…1100001000101100
3100121221100020010000
43132110030020230
530114314201130
61414035144300
7161300033115
oct33624141054
910557306100
103729834540
111644437993
12881145090
1347596b4b3
1427550920c
1516c6ab260
hexde50c22c

3729834540 has 60 divisors (see below), whose sum is σ = 11700634176. Its totient is φ = 994622112.

The previous prime is 3729834529. The next prime is 3729834547. The reversal of 3729834540 is 454389273.

3729834540 is a `hidden beast` number, since 3 + 7 + 29 + 83 + 4 + 540 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3729834547) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1149564 + ... + 1152803.

Almost surely, 23729834540 is an apocalyptic number.

3729834540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3729834540 is an abundant number, since it is smaller than the sum of its proper divisors (7970799636).

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

3729834540 is a wasteful number, since it uses less digits than its factorization.

3729834540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302388 (or 2302377 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3729834540 is about 61072.3713310692. The cubic root of 3729834540 is about 1550.8264118886.

The spelling of 3729834540 in words is "three billion, seven hundred twenty-nine million, eight hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2302367 4604734 6907101 9209468 11511835 13814202 20721303 23023670 27628404 34535505 41442606 46047340 62163909 69071010 82885212 103606515 124327818 138142020 186491727 207213030 248655636 310819545 372983454 414426060 621639090 745966908 932458635 1243278180 1864917270 3729834540