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34454105240 = 23519193234893
BaseRepresentation
bin100000000101100111…
…111110110010011000
310021221011110220002212
4200011213332302120
51031030222331430
623454503014252
72326543030262
oct400547766230
9107834426085
1034454105240
1113680498245
12681673a388
1333310bcc29
14194bc08b32
15d69b9db95
hex8059fec98

34454105240 has 64 divisors (see below), whose sum is σ = 82024984800. Its totient is φ = 12988588032.

The previous prime is 34454105239. The next prime is 34454105251. The reversal of 34454105240 is 4250145443.

It is a junction number, because it is equal to n+sod(n) for n = 34454105197 and 34454105206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29234 + ... + 264126.

Almost surely, 234454105240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34454105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41012492400).

34454105240 is an abundant number, since it is smaller than the sum of its proper divisors (47570879560).

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

34454105240 is a wasteful number, since it uses less digits than its factorization.

34454105240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235116 (or 235112 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

The spelling of 34454105240 in words is "thirty-four billion, four hundred fifty-four million, one hundred five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 193 380 386 760 772 965 1544 1930 3667 3860 7334 7720 14668 18335 29336 36670 73340 146680 234893 469786 939572 1174465 1879144 2348930 4462967 4697860 8925934 9395720 17851868 22314835 35703736 44629670 45334349 89259340 90668698 178518680 181337396 226671745 362674792 453343490 861352631 906686980 1722705262 1813373960 3445410524 4306763155 6890821048 8613526310 17227052620 34454105240