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34106060464332 = 223257109128973499
BaseRepresentation
bin1111100000100111011111…
…00111100110000011001100
311110202111200222212021210220
413300103233213212003030
513432243202434324312
6200312035145031340
710120036654436133
oct760235747460314
9143674628767726
1034106060464332
11a95a331a9732a
1239a9b96785550
1316052594c358c
1485ca565b891a
153e229c09bc8c
hex1f04ef9e60cc

34106060464332 has 96 divisors (see below), whose sum is σ = 80014150944000. Its totient is φ = 11306932961280.

The previous prime is 34106060464327. The next prime is 34106060464339. The reversal of 34106060464332 is 23346406060143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34106060464339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9747371919 + ... + 9747375417.

It is an arithmetic number, because the mean of its divisors is an integer number (833480739000).

Almost surely, 234106060464332 is an apocalyptic number.

It is an amenable number.

34106060464332 is an abundant number, since it is smaller than the sum of its proper divisors (45908090479668).

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

34106060464332 is a wasteful number, since it uses less digits than its factorization.

34106060464332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7751 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 34106060464332 in words is "thirty-four trillion, one hundred six billion, sixty million, four hundred sixty-four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 257 514 771 1028 1091 1542 2182 2897 3084 3273 3499 4364 5794 6546 6998 8691 10497 11588 13092 13996 17382 20994 34764 41988 280387 560774 744529 841161 899243 1121548 1489058 1682322 1798486 2233587 2697729 2978116 3160627 3364644 3596972 3817409 4467174 5395458 6321254 7634818 8934348 9481881 10136603 10790916 11452227 12642508 15269636 18963762 20273206 22904454 30409809 37927524 40546412 45808908 60819618 121639236 812281139 981074113 1624562278 1962148226 2436843417 2605106971 2943222339 3249124556 3924296452 4873686834 5210213942 5886444678 7815320913 9747373668 10420427884 11059033873 11772889356 15630641826 22118067746 31261283652 33177101619 44236135492 66354203238 132708406476 2842171705361 5684343410722 8526515116083 11368686821444 17053030232166 34106060464332