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34278497316 = 223271071518419
BaseRepresentation
bin11111111011001010…
…000101110000100100
310021110221001002022200
4133323022011300210
51030200243403231
623425231054500
72322311263650
oct377312056044
9107427032280
1034278497316
11135a0355428
126787971430
1333038c620b
141932775a60
15d59561be6
hex7fb285c24

34278497316 has 144 divisors (see below), whose sum is σ = 100626140160. Its totient is φ = 9636926400.

The previous prime is 34278497311. The next prime is 34278497347. The reversal of 34278497316 is 61379487243.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34278497311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4067355 + ... + 4075773.

It is an arithmetic number, because the mean of its divisors is an integer number (698792640).

Almost surely, 234278497316 is an apocalyptic number.

34278497316 is a gapful number since it is divisible by the number (36) 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 34278497316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50313070080).

34278497316 is an abundant number, since it is smaller than the sum of its proper divisors (66347642844).

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

34278497316 is a wasteful number, since it uses less digits than its factorization.

34278497316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8694 (or 8689 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 34278497316 in words is "thirty-four billion, two hundred seventy-eight million, four hundred ninety-seven thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 107 126 151 214 252 302 321 428 453 604 642 749 906 963 1057 1284 1359 1498 1812 1926 2114 2247 2718 2996 3171 3852 4228 4494 5436 6342 6741 8419 8988 9513 12684 13482 16157 16838 19026 25257 26964 32314 33676 38052 48471 50514 58933 64628 75771 96942 101028 113099 117866 145413 151542 176799 193884 226198 235732 290826 303084 339297 353598 452396 530397 581652 678594 707196 900833 1017891 1060794 1271269 1357188 1801666 2035782 2121588 2542538 2702499 3603332 3813807 4071564 5085076 5404998 6305831 7627614 8107497 8898883 10809996 11441421 12611662 15255228 16214994 17797766 18917493 22882842 25223324 26696649 32429988 35595532 37834986 45765684 53393298 56752479 75669972 80089947 106786596 113504958 136025783 160179894 227009916 272051566 320359788 408077349 544103132 816154698 952180481 1224232047 1632309396 1904360962 2448464094 2856541443 3808721924 4896928188 5713082886 8569624329 11426165772 17139248658 34278497316