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34434364056 = 23329371337153
BaseRepresentation
bin100000000100011100…
…101011001010011000
310021212210022221021220
4200010130223022120
51031010144122211
623452515532040
72326213156641
oct400434531230
9107783287256
1034434364056
1113670334414
12680bbba020
133329c9a561
14194934a6c8
15d6809e806
hex80472b298

34434364056 has 64 divisors (see below), whose sum is σ = 91461333600. Its totient is φ = 10782793728.

The previous prime is 34434364037. The next prime is 34434364067. The reversal of 34434364056 is 65046343443.

It is a happy number.

It is a super-2 number, since 2×344343640562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34434363999 and 34434364017.

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 15 ways as a sum of consecutive naturals, for example, 642825 + ... + 694328.

Almost surely, 234434364056 is an apocalyptic number.

It is an amenable number.

34434364056 is an abundant number, since it is smaller than the sum of its proper divisors (57026969544).

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

34434364056 is a wasteful number, since it uses less digits than its factorization.

34434364056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337228 (or 1337224 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 42.

The spelling of 34434364056 in words is "thirty-four billion, four hundred thirty-four million, three hundred sixty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 29 37 58 74 87 111 116 148 174 222 232 296 348 444 696 888 1073 2146 3219 4292 6438 8584 12876 25752 1337153 2674306 4011459 5348612 8022918 10697224 16045836 32091672 38777437 49474661 77554874 98949322 116332311 148423983 155109748 197898644 232664622 296847966 310219496 395797288 465329244 593695932 930658488 1187391864 1434765169 2869530338 4304295507 5739060676 8608591014 11478121352 17217182028 34434364056