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34296609520 = 2455319341911
BaseRepresentation
bin11111111100001111…
…001011101011110000
310021112012010021121001
4133330033023223300
51030214413001040
623431115211344
72322621241135
oct377417135360
9107465107531
1034296609520
11135aa5a6398
126791a46b54
1333075982b4
141934d2c58c
15d5ae3d59a
hex7fc3cbaf0

34296609520 has 80 divisors (see below), whose sum is σ = 81667040832. Its totient is φ = 13389742080.

The previous prime is 34296609499. The next prime is 34296609577. The reversal of 34296609520 is 2590669243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797365 + ... + 839275.

Almost surely, 234296609520 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 34296609520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40833520416).

34296609520 is an abundant number, since it is smaller than the sum of its proper divisors (47370431312).

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

34296609520 is a wasteful number, since it uses less digits than its factorization.

34296609520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42170 (or 42164 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 46.

The spelling of 34296609520 in words is "thirty-four billion, two hundred ninety-six million, six hundred nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 193 212 265 386 424 530 772 848 965 1060 1544 1930 2120 3088 3860 4240 7720 10229 15440 20458 40916 41911 51145 81832 83822 102290 163664 167644 204580 209555 335288 409160 419110 670576 818320 838220 1676440 2221283 3352880 4442566 8088823 8885132 11106415 16177646 17770264 22212830 32355292 35540528 40444115 44425660 64710584 80888230 88851320 129421168 161776460 177702640 323552920 428707619 647105840 857415238 1714830476 2143538095 3429660952 4287076190 6859321904 8574152380 17148304760 34296609520