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34323417936 = 24324715593253
BaseRepresentation
bin11111111101110101…
…011100101101010000
310021121001120021211100
4133331311130231100
51030243243333221
623433513544400
72323365144603
oct377565345520
9107531507740
1034323417936
1113613746a05
12679aa15100
13330ccc3672
14193870a33a
15d5d486926
hex7fdd5cb50

34323417936 has 120 divisors (see below), whose sum is σ = 98194786560. Its totient is φ = 11187088128.

The previous prime is 34323417917. The next prime is 34323417941. The reversal of 34323417936 is 63971432343.

It is a happy number.

34323417936 is a `hidden beast` number, since 343 + 234 + 1 + 79 + 3 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34323417891 and 34323417900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10549686 + ... + 10552938.

It is an arithmetic number, because the mean of its divisors is an integer number (818289888).

Almost surely, 234323417936 is an apocalyptic number.

34323417936 is a gapful number since it is divisible by the number (36) 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 34323417936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49097393280).

34323417936 is an abundant number, since it is smaller than the sum of its proper divisors (63871368624).

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

34323417936 is a wasteful number, since it uses less digits than its factorization.

34323417936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4873 (or 4864 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 34323417936 in words is "thirty-four billion, three hundred twenty-three million, four hundred seventeen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1128 1559 1692 2256 3118 3253 3384 4677 6236 6506 6768 9354 9759 12472 13012 14031 18708 19518 24944 26024 28062 29277 37416 39036 52048 56124 58554 73273 74832 78072 112248 117108 146546 152891 156144 219819 224496 234216 293092 305782 439638 458673 468432 586184 611564 659457 879276 917346 1172368 1223128 1318914 1376019 1758552 1834692 2446256 2637828 2752038 3517104 3669384 5071427 5275656 5504076 7338768 10142854 10551312 11008152 15214281 20285708 22016304 30428562 40571416 45642843 60857124 81142832 91285686 121714248 182571372 238357069 243428496 365142744 476714138 715071207 730285488 953428276 1430142414 1906856552 2145213621 2860284828 3813713104 4290427242 5720569656 8580854484 11441139312 17161708968 34323417936