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34013021388 = 223171015772861
BaseRepresentation
bin11111101011010101…
…011000010011001100
310020210102111111210220
4133223111120103030
51024124313141023
623343025031340
72312605624443
oct375325302314
9106712444726
1034013021388
1113474511435
126712a85550
1332908c5678
1419093cbd5a
15d410c23e3
hex7eb5584cc

34013021388 has 96 divisors (see below), whose sum is σ = 85040964288. Its totient is φ = 10543104000.

The previous prime is 34013021387. The next prime is 34013021389. The reversal of 34013021388 is 88312031043.

It is an interprime number because it is at equal distance from previous prime (34013021387) and next prime (34013021389).

It is not an unprimeable number, because it can be changed into a prime (34013021387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11887078 + ... + 11889938.

It is an arithmetic number, because the mean of its divisors is an integer number (885843378).

Almost surely, 234013021388 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 34013021388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42520482144).

34013021388 is an abundant number, since it is smaller than the sum of its proper divisors (51027942900).

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

34013021388 is a wasteful number, since it uses less digits than its factorization.

34013021388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 34013021388 in words is "thirty-four billion, thirteen million, twenty-one thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 101 102 202 204 303 404 577 606 1154 1212 1717 1731 2308 2861 3434 3462 5151 5722 6868 6924 8583 9809 10302 11444 17166 19618 20604 29427 34332 39236 48637 58277 58854 97274 116554 117708 145911 174831 194548 233108 288961 291822 349662 577922 583644 699324 866883 990709 1155844 1650797 1733766 1981418 2972127 3301594 3467532 3962836 4912337 4952391 5944254 6603188 9824674 9904782 11888508 14737011 19649348 19809564 28063549 29474022 56127098 58948044 84190647 112254196 166730497 168381294 333460994 336762588 500191491 666921988 1000382982 2000765964 2834418449 5668836898 8503255347 11337673796 17006510694 34013021388