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34287076488 = 23372346719001
BaseRepresentation
bin11111111011101010…
…110100010010001000
310021111112011221201210
4133323222310102020
51030204442421423
623430135013120
72322444225060
oct377352642210
9107445157653
1034287076488
11135a5185055
12678a80a1a0
13330560b152
14193396a3a0
15d5a1a8b93
hex7fbab4488

34287076488 has 128 divisors (see below), whose sum is σ = 102446622720. Its totient is φ = 9349824000.

The previous prime is 34287076471. The next prime is 34287076553. The reversal of 34287076488 is 88467078243.

It is a super-2 number, since 2×342870764882 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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, 1794988 + ... + 1813988.

It is an arithmetic number, because the mean of its divisors is an integer number (800364240).

Almost surely, 234287076488 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 34287076488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51223311360).

34287076488 is an abundant number, since it is smaller than the sum of its proper divisors (68159546232).

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

34287076488 is a wasteful number, since it uses less digits than its factorization.

34287076488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19507 (or 19503 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 34287076488 in words is "thirty-four billion, two hundred eighty-seven million, seventy-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 467 483 552 644 934 966 1288 1401 1868 1932 2802 3269 3736 3864 5604 6538 9807 10741 11208 13076 19001 19614 21482 26152 32223 38002 39228 42964 57003 64446 75187 76004 78456 85928 114006 128892 133007 150374 152008 225561 228012 257784 266014 300748 399021 437023 451122 456024 532028 601496 798042 874046 902244 1064056 1311069 1596084 1748092 1804488 2622138 3059161 3192168 3496184 5244276 6118322 8873467 9177483 10488552 12236644 17746934 18354966 24473288 26620401 35493868 36709932 53240802 62114269 70987736 73419864 106481604 124228538 186342807 204089741 212963208 248457076 372685614 408179482 496914152 612269223 745371228 816358964 1224538446 1428628187 1490742456 1632717928 2449076892 2857256374 4285884561 4898153784 5714512748 8571769122 11429025496 17143538244 34287076488