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34050325540 = 225711147115031
BaseRepresentation
bin11111101101100011…
…101011110000100100
310020220000200202111011
4133231203223300210
51024213340404130
623350440352004
72313540664060
oct375543536044
9106800622434
1034050325540
1113493580610
126723475604
13329855712a
14191033caa0
15d444e052a
hex7ed8ebc24

34050325540 has 96 divisors (see below), whose sum is σ = 89216483328. Its totient is φ = 10605168000.

The previous prime is 34050325537. The next prime is 34050325549. The reversal of 34050325540 is 4552305043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34050325549) 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, 2257825 + ... + 2272855.

It is an arithmetic number, because the mean of its divisors is an integer number (929338368).

Almost surely, 234050325540 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 34050325540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44608241664).

34050325540 is an abundant number, since it is smaller than the sum of its proper divisors (55166157788).

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

34050325540 is a wasteful number, since it uses less digits than its factorization.

34050325540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16529 (or 16527 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 34050325540 in words is "thirty-four billion, fifty million, three hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1471 1540 2942 5884 7355 10297 14710 15031 16181 20594 29420 30062 32362 41188 51485 60124 64724 75155 80905 102970 105217 113267 150310 161810 165341 205940 210434 226534 300620 323620 330682 420868 453068 526085 566335 661364 826705 1052170 1132670 1157387 1653410 2104340 2265340 2314774 3306820 4629548 5786935 11573870 22110601 23147740 44221202 88442404 110553005 154774207 221106010 243216611 309548414 442212020 486433222 619096828 773871035 972866444 1216083055 1547742070 1702516277 2432166110 3095484140 3405032554 4864332220 6810065108 8512581385 17025162770 34050325540