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34949350352 = 247273610661
BaseRepresentation
bin100000100011001001…
…001100001111010000
310100012200100221200102
4200203021030033100
51033034013202402
624015553511532
72345035401500
oct404311141720
9110180327612
1034949350352
1113904aa7224
1269345725a8
1333ac89b987
1419978c3a00
15d983c8102
hex82324c3d0

34949350352 has 60 divisors (see below), whose sum is σ = 79848941796. Its totient is φ = 14773086720.

The previous prime is 34949350313. The next prime is 34949350391. The reversal of 34949350352 is 25305394943.

It is an interprime number because it is at equal distance from previous prime (34949350313) and next prime (34949350391).

It can be written as a sum of positive squares in 2 ways, for example, as 16901040016 + 18048310336 = 130004^2 + 134344^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34949350297 and 34949350306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248099 + ... + 362562.

Almost surely, 234949350352 is an apocalyptic number.

It is an amenable number.

34949350352 is an abundant number, since it is smaller than the sum of its proper divisors (44899591444).

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

34949350352 is a wasteful number, since it uses less digits than its factorization.

34949350352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610756 (or 610743 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 34949350352 in words is "thirty-four billion, nine hundred forty-nine million, three hundred fifty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 56 73 98 112 146 196 292 392 511 584 784 1022 1168 2044 3577 4088 7154 8176 14308 28616 57232 610661 1221322 2442644 4274627 4885288 8549254 9770576 17098508 29922389 34197016 44578253 59844778 68394032 89156506 119689556 178313012 239379112 312047771 356626024 478758224 624095542 713252048 1248191084 2184334397 2496382168 4368668794 4992764336 8737337588 17474675176 34949350352