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7234000040 = 2353197137439
BaseRepresentation
bin1101011110010111…
…00001010010101000
3200200011001021111102
412233023201102220
5104303401000130
63153453420532
7344156662061
oct65713412250
920604037442
107234000040
11308244a333
12149a79a748
138b3935ac7
144c8a6d568
152c513c645
hex1af2e14a8

7234000040 has 128 divisors (see below), whose sum is σ = 17137612800. Its totient is φ = 2744893440.

The previous prime is 7234000019. The next prime is 7234000049. The reversal of 7234000040 is 400004327.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 7233999976 and 7234000021.

It is not an unprimeable number, because it can be changed into a prime (7234000049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16478141 + ... + 16478579.

It is an arithmetic number, because the mean of its divisors is an integer number (133887600).

Almost surely, 27234000040 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 7234000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8568806400).

7234000040 is an abundant number, since it is smaller than the sum of its proper divisors (9903612760).

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

7234000040 is a wasteful number, since it uses less digits than its factorization.

7234000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 7234000040 is about 85052.9249350074. The cubic root of 7234000040 is about 1934.0135045026.

Adding to 7234000040 its reverse (400004327), we get a palindrome (7634004367).

The spelling of 7234000040 in words is "seven billion, two hundred thirty-four million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 31 40 62 97 124 137 155 194 248 274 310 388 439 485 548 620 685 776 878 970 1096 1240 1370 1756 1940 2195 2740 3007 3512 3880 4247 4390 5480 6014 8494 8780 12028 13289 13609 15035 16988 17560 21235 24056 26578 27218 30070 33976 42470 42583 53156 54436 60140 60143 66445 68045 84940 85166 106312 108872 120280 120286 132890 136090 169880 170332 212915 240572 265780 272180 300715 340664 411959 425830 481144 531560 544360 601430 823918 851660 1202860 1320073 1647836 1703320 1864433 2059795 2405720 2640146 3295672 3728866 4119590 5280292 5833871 6600365 7457732 8239180 9322165 10560584 11667742 13200730 14915464 16478360 18644330 23335484 26401460 29169355 37288660 46670968 52802920 58338710 74577320 116677420 180850001 233354840 361700002 723400004 904250005 1446800008 1808500010 3617000020 7234000040