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34465353021 = 321129107151743
BaseRepresentation
bin100000000110010010…
…111000110100111101
310021221221122100011100
4200012102320310331
51031041112244041
623455544043313
72330040444531
oct400622706475
9107857570140
1034465353021
111368687a930
12681a463539
13333352a718
14194d4d5bc1
15d6ab716b6
hex8064b8d3d

34465353021 has 96 divisors (see below), whose sum is σ = 57159198720. Its totient is φ = 19820304000.

The previous prime is 34465352983. The next prime is 34465353029. The reversal of 34465353021 is 12035356443.

34465353021 is a `hidden beast` number, since 3 + 44 + 65 + 3 + 530 + 21 = 666.

It is not a de Polignac number, because 34465353021 - 229 = 33928482109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34465353029) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46386376 + ... + 46387118.

It is an arithmetic number, because the mean of its divisors is an integer number (595408320).

Almost surely, 234465353021 is an apocalyptic number.

It is an amenable number.

34465353021 is a deficient number, since it is larger than the sum of its proper divisors (22693845699).

34465353021 is a wasteful number, since it uses less digits than its factorization.

34465353021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 34465353021 in words is "thirty-four billion, four hundred sixty-five million, three hundred fifty-three thousand, twenty-one".

Divisors: 1 3 9 11 29 33 87 99 107 151 261 319 321 453 743 957 963 1177 1359 1661 2229 2871 3103 3531 4379 4983 6687 8173 9309 10593 13137 14949 16157 21547 24519 27927 34133 39411 48169 48471 64641 73557 79501 102399 112193 144507 145413 177727 193923 237017 238503 307197 336579 433521 468553 533181 711051 715509 874511 1009737 1234123 1405659 1599543 2133153 2305529 2623533 3253597 3702369 4216977 5154083 6916587 7870599 9760791 11107107 12004651 15462249 20749761 25360819 29282373 35789567 36013953 46386747 76082457 107368701 108041859 132051161 228247371 322106103 348134879 396153483 1044404637 1188460449 3133213911 3829483669 11488451007 34465353021