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34064270416 = 24112103170827
BaseRepresentation
bin11111101110011000…
…111000010001010000
310020220222221020021001
4133232120320101100
51024230423123131
623352055311344
72314100343511
oct375630702120
9106828836231
1034064270416
11134a0435600
12672807b554
13329b3ca437
14191212ca08
15d45847261
hex7ee638450

34064270416 has 60 divisors (see below), whose sum is σ = 73249679776. Its totient is φ = 15333341760.

The previous prime is 34064270371. The next prime is 34064270431. The reversal of 34064270416 is 61407246043.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 113995 + ... + 284821.

Almost surely, 234064270416 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 34064270416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36624839888).

34064270416 is an abundant number, since it is smaller than the sum of its proper divisors (39185409360).

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

34064270416 is a wasteful number, since it uses less digits than its factorization.

34064270416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170960 (or 170943 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 34064270416 in words is "thirty-four billion, sixty-four million, two hundred seventy thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 103 121 176 206 242 412 484 824 968 1133 1648 1936 2266 4532 9064 12463 18128 24926 49852 99704 170827 199408 341654 683308 1366616 1879097 2733232 3758194 7516388 15032776 17595181 20670067 30065552 35190362 41340134 70380724 82680268 140761448 165360536 193546991 281522896 330721072 387093982 774187964 1548375928 2129016901 3096751856 4258033802 8516067604 17032135208 34064270416