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34043386992 = 24317414212417
BaseRepresentation
bin11111101101001001…
…001101110001110000
310020212112122020120220
4133231021031301300
51024210101340432
623350031533040
72313425005056
oct375511156160
9106775566526
1034043386992
111348a67157a
12672108a180
133296c97b94
14190d4541d6
15d43abe72c
hex7ed24dc70

34043386992 has 160 divisors (see below), whose sum is σ = 95656002624. Its totient is φ = 10390732800.

The previous prime is 34043386969. The next prime is 34043386997. The reversal of 34043386992 is 29968334043.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34043386997) 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, 14083768 + ... + 14086184.

Almost surely, 234043386992 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 34043386992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47828001312).

34043386992 is an abundant number, since it is smaller than the sum of its proper divisors (61612615632).

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

34043386992 is a wasteful number, since it uses less digits than its factorization.

34043386992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2907 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 51.

The spelling of 34043386992 in words is "thirty-four billion, forty-three million, three hundred eighty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 41 48 51 68 82 102 123 136 164 204 246 272 328 408 421 492 656 697 816 842 984 1263 1394 1684 1968 2091 2417 2526 2788 3368 4182 4834 5052 5576 6736 7157 7251 8364 9668 10104 11152 14314 14502 16728 17261 19336 20208 21471 28628 29004 33456 34522 38672 41089 42942 51783 57256 58008 69044 82178 85884 99097 103566 114512 116016 123267 138088 164356 171768 198194 207132 246534 276176 293437 297291 328712 343536 396388 414264 493068 586874 594582 657424 792776 828528 880311 986136 1017557 1173748 1189164 1585552 1684649 1760622 1972272 2035114 2347496 2378328 3052671 3369298 3521244 4070228 4694992 4756656 5053947 6105342 6738596 7042488 8140456 10107894 12210684 13477192 14084976 16280912 17298469 20215788 24421368 26954384 34596938 40431576 41719837 48842736 51895407 69193876 80863152 83439674 103790814 125159511 138387752 166879348 207581628 250319022 276775504 333758696 415163256 500638044 667517392 709237229 830326512 1001276088 1418474458 2002552176 2127711687 2836948916 4255423374 5673897832 8510846748 11347795664 17021693496 34043386992