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34930862404 = 221722322392
BaseRepresentation
bin100000100010000010…
…101010100101000100
310100011101120122222121
4200202002222211010
51033014300044104
624014053335324
72344422300664
oct404202524504
9110141518877
1034930862404
11138a5619a29
12692a337544
1333a8ac7869
1419952701a4
15d96975254
hex8220aa944

34930862404 has 81 divisors (see below), whose sum is σ = 68167640317. Its totient is φ = 15657566848.

The previous prime is 34930862389. The next prime is 34930862411. The reversal of 34930862404 is 40426803943.

The square root of 34930862404 is 186898.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 27195308100 + 7735554304 = 164910^2 + 87952^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 146154117 + ... + 146154355.

Almost surely, 234930862404 is an apocalyptic number.

34930862404 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34930862404 is the 186898-th square number.

It is an amenable number.

34930862404 is a deficient number, since it is larger than the sum of its proper divisors (33236777913).

34930862404 is a wasteful number, since it uses less digits than its factorization.

34930862404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 34930862404 in words is "thirty-four billion, nine hundred thirty million, eight hundred sixty-two thousand, four hundred four".

Divisors: 1 2 4 17 23 34 46 68 92 239 289 391 478 529 578 782 956 1058 1156 1564 2116 4063 5497 6647 8126 8993 10994 13294 16252 17986 21988 26588 35972 57121 69071 93449 114242 126431 138142 152881 186898 228484 252862 276284 305762 373796 505724 611524 971057 1313783 1588633 1942114 2149327 2627566 3177266 3884228 4298654 5255132 6354532 8597308 16507969 22334311 30217009 33015938 36538559 44668622 60434018 66031876 73077118 89337244 120868036 146154236 379683287 513689153 759366574 1027378306 1518733148 2054756612 8732715601 17465431202 34930862404