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34297811232 = 2532319737873
BaseRepresentation
bin11111111100010011…
…110001000100100000
310021112021101100000220
4133330103301010200
51030220214424412
623431201043040
72322634404516
oct377423610440
9107467340026
1034297811232
1113600247243
126792326480
1333078c9279
1419351624b6
15d5b0c968c
hex7fc4f1120

34297811232 has 96 divisors (see below), whose sum is σ = 94005733248. Its totient is φ = 10928603136.

The previous prime is 34297811167. The next prime is 34297811257. The reversal of 34297811232 is 23211879243.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4352448 + ... + 4360320.

It is an arithmetic number, because the mean of its divisors is an integer number (979226388).

Almost surely, 234297811232 is an apocalyptic number.

34297811232 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34297811232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47002866624).

34297811232 is an abundant number, since it is smaller than the sum of its proper divisors (59707922016).

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

34297811232 is a wasteful number, since it uses less digits than its factorization.

34297811232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9882 (or 9874 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The spelling of 34297811232 in words is "thirty-four billion, two hundred ninety-seven million, eight hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 1973 2208 3946 5919 7873 7892 11838 15746 15784 23619 23676 31492 31568 45379 47238 47352 62984 63136 90758 94476 94704 125968 136137 181079 181516 188952 189408 251936 272274 362158 363032 377904 543237 544548 724316 726064 755808 1086474 1089096 1448632 1452128 2172948 2178192 2897264 4345896 4356384 5794528 8691792 15533429 17383584 31066858 46600287 62133716 93200574 124267432 186401148 248534864 357268867 372802296 497069728 714537734 745604592 1071806601 1429075468 1491209184 2143613202 2858150936 4287226404 5716301872 8574452808 11432603744 17148905616 34297811232