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34044054300 = 22335231406739
BaseRepresentation
bin11111101101001011…
…110000101100011100
310020212120220010222000
4133231023300230130
51024210234214200
623350054122300
72313433454424
oct375513605434
9106776803860
1034044054300
111348aa87973
126721350390
13329716c839
14190d589484
15d43ba2300
hex7ed2f0b1c

34044054300 has 144 divisors (see below), whose sum is σ = 112976102400. Its totient is φ = 8785540800.

The previous prime is 34044054241. The next prime is 34044054301. The reversal of 34044054300 is 345044043.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34044054301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119670 + ... + 287069.

Almost surely, 234044054300 is an apocalyptic number.

34044054300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34044054300 is an abundant number, since it is smaller than the sum of its proper divisors (78932048100).

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

34044054300 is a wasteful number, since it uses less digits than its factorization.

34044054300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406793 (or 406780 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

Adding to 34044054300 its reverse (345044043), we get a palindrome (34389098343).

The spelling of 34044054300 in words is "thirty-four billion, forty-four million, fifty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 31 36 45 50 54 60 62 75 90 93 100 108 124 135 150 155 180 186 225 270 279 300 310 372 450 465 540 558 620 675 775 837 900 930 1116 1350 1395 1550 1674 1860 2325 2700 2790 3100 3348 4185 4650 5580 6975 8370 9300 13950 16740 20925 27900 41850 83700 406739 813478 1220217 1626956 2033695 2440434 3660651 4067390 4880868 6101085 7321302 8134780 10168475 10981953 12202170 12608909 14642604 18303255 20336950 21963906 24404340 25217818 30505425 36606510 37826727 40673900 43927812 50435636 54909765 61010850 63044545 73213020 75653454 91516275 109819530 113480181 122021700 126089090 151306908 183032550 189133635 219639060 226960362 252178180 274548825 315222725 340440543 366065100 378267270 453920724 549097650 567400905 630445450 680881086 756534540 945668175 1098195300 1134801810 1260890900 1361762172 1702202715 1891336350 2269603620 2837004525 3404405430 3782672700 5674009050 6808810860 8511013575 11348018100 17022027150 34044054300