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34254245228 = 22719731316733
BaseRepresentation
bin11111111001101101…
…100100110101101100
310021102020101221201012
4133321231210311230
51030123041321403
623423003204352
72321565165110
oct377155446554
9107366357635
1034254245228
11135886a0485
12677b8166b8
1332cb884578
14192d461740
15d57370ed8
hex7f9b64d6c

34254245228 has 96 divisors (see below), whose sum is σ = 73671037440. Its totient is φ = 13610488320.

The previous prime is 34254245227. The next prime is 34254245261. The reversal of 34254245228 is 82254245243.

It is a super-2 number, since 2×342542452282 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34254245227) 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, 5084150 + ... + 5090882.

It is an arithmetic number, because the mean of its divisors is an integer number (767406640).

Almost surely, 234254245228 is an apocalyptic number.

34254245228 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34254245228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36835518720).

34254245228 is an abundant number, since it is smaller than the sum of its proper divisors (39416792212).

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

34254245228 is a wasteful number, since it uses less digits than its factorization.

34254245228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6965 counting only the distinct ones).

The product of its digits is 614400, while the sum is 41.

The spelling of 34254245228 in words is "thirty-four billion, two hundred fifty-four million, two hundred forty-five thousand, two hundred twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 73 76 131 133 146 262 266 292 511 524 532 917 1022 1387 1834 2044 2489 2774 3668 4978 5548 6733 9563 9709 9956 13466 17423 19126 19418 26932 34846 38252 38836 47131 66941 69692 94262 127927 133882 181697 188524 255854 267764 363394 491509 511708 726788 882023 895489 983018 1271879 1764046 1790978 1966036 2543758 3440563 3528092 3581956 5087516 6174161 6881126 9338671 12348322 13762252 16758437 18677342 24696644 33516874 37354684 64387679 65370697 67033748 117309059 128775358 130741394 234618118 257550716 261482788 450713753 469236236 901427506 1223365901 1802855012 2446731802 4893463604 8563561307 17127122614 34254245228