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34932002028 = 22371198338459
BaseRepresentation
bin100000100010000111…
…000000110011101100
310100011110201120020220
4200202013000303230
51033020043031103
624014134011340
72344435055340
oct404207006354
9110143646226
1034932002028
11138a6228170
12692a7a6b50
1333a91064b1
141995489620
15d96aecc53
hex8221c0cec

34932002028 has 96 divisors (see below), whose sum is σ = 101726392320. Its totient is φ = 9063781440.

The previous prime is 34932002011. The next prime is 34932002041. The reversal of 34932002028 is 82020023943.

It is a super-2 number, since 2×349320020282 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 34932002028.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889063 + ... + 927521.

It is an arithmetic number, because the mean of its divisors is an integer number (1059649920).

Almost surely, 234932002028 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 34932002028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50863196160).

34932002028 is an abundant number, since it is smaller than the sum of its proper divisors (66794390292).

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

34932002028 is a wasteful number, since it uses less digits than its factorization.

34932002028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39467 (or 39465 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 34932002028 in words is "thirty-four billion, nine hundred thirty-two million, two thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 983 1966 2949 3932 5898 6881 10813 11796 13762 20643 21626 27524 32439 38459 41286 43252 64878 75691 76918 82572 115377 129756 151382 153836 227073 230754 269213 302764 423049 454146 461508 538426 807639 846098 908292 1076852 1269147 1615278 1692196 2538294 2961343 3230556 5076588 5922686 8884029 11845372 17768058 35536116 37805197 75610394 113415591 151220788 226831182 264636379 415857167 453662364 529272758 793909137 831714334 1058545516 1247571501 1587818274 1663428668 2495143002 2911000169 3175636548 4990286004 5822000338 8733000507 11644000676 17466001014 34932002028