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4030324740 = 22325138092129
BaseRepresentation
bin1111000000111001…
…1110000000000100
3101101212202201011200
43300032132000010
531223230342430
61503531502500
7201606123621
oct36016360004
911355681150
104030324740
1117890166a2
129458b7a30
134c2cab450
142a33a9348
15188c65460
hexf039e004

4030324740 has 144 divisors (see below), whose sum is σ = 13188193200. Its totient is φ = 990388224.

The previous prime is 4030324729. The next prime is 4030324757. The reversal of 4030324740 is 474230304.

It can be written as a sum of positive squares in 8 ways, for example, as 128323584 + 3902001156 = 11328^2 + 62466^2 .

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, 1891996 + ... + 1894124.

It is an arithmetic number, because the mean of its divisors is an integer number (91584675).

Almost surely, 24030324740 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 4030324740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6594096600).

4030324740 is an abundant number, since it is smaller than the sum of its proper divisors (9157868460).

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

4030324740 is a wasteful number, since it uses less digits than its factorization.

4030324740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2966 (or 2961 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 4030324740 is about 63484.8386624712. The cubic root of 4030324740 is about 1591.4024175896.

The spelling of 4030324740 in words is "four billion, thirty million, three hundred twenty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 809 1170 1618 2129 2340 2427 3236 4045 4258 4854 6387 7281 8090 8516 9708 10517 10645 12135 12774 14562 16180 19161 21034 21290 24270 25548 27677 29124 31551 31935 36405 38322 42068 42580 48540 52585 55354 63102 63870 72810 76644 83031 94653 95805 105170 110708 126204 127740 138385 145620 157755 166062 189306 191610 210340 249093 276770 315510 332124 378612 383220 415155 473265 498186 553540 631020 830310 946530 996372 1245465 1660620 1722361 1893060 2490930 3444722 4981860 5167083 6889444 8611805 10334166 15501249 17223610 20668332 22390693 25835415 31002498 34447220 44781386 51670830 62004996 67172079 77506245 89562772 103341660 111953465 134344158 155012490 201516237 223906930 268688316 310024980 335860395 403032474 447813860 671720790 806064948 1007581185 1343441580 2015162370 4030324740