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34903840896 = 27343366497
BaseRepresentation
bin100000100000011011…
…100101100010000000
310100002111201211110000
4200200123211202000
51032440340402041
624011250240000
72343643516041
oct404033454200
9110074654400
1034903840896
1113891343301
126921286000
1333a33264c2
1419918388c8
15d943d8bb6
hex8206e5880

34903840896 has 80 divisors (see below), whose sum is σ = 103873295790. Its totient is φ = 11634610176.

The previous prime is 34903840871. The next prime is 34903840897. The reversal of 34903840896 is 69804830943.

It is a happy number.

34903840896 is a `hidden beast` number, since 3 + 490 + 38 + 40 + 89 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34053535296 + 850305600 = 184536^2 + 29160^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34903840897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1672881 + ... + 1693616.

Almost surely, 234903840896 is an apocalyptic number.

34903840896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34903840896 is an abundant number, since it is smaller than the sum of its proper divisors (68969454894).

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

34903840896 is an equidigital number, since it uses as much as digits as its factorization.

34903840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366523 (or 3366502 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 34903840896 in words is "thirty-four billion, nine hundred three million, eight hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 3366497 6732994 10099491 13465988 20198982 26931976 30298473 40397964 53863952 60596946 80795928 90895419 107727904 121193892 161591856 181790838 215455808 242387784 272686257 323183712 363581676 430911616 484775568 545372514 646367424 727163352 969551136 1090745028 1292734848 1454326704 1939102272 2181490056 2908653408 3878204544 4362980112 5817306816 8725960224 11634613632 17451920448 34903840896