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34416503304 = 23329312277027
BaseRepresentation
bin100000000011011000…
…100010101000001000
310021211112201111221120
4200003120202220020
51030441111101204
623451041035240
72325605310531
oct400330425010
9107745644846
1034416503304
1113661245367
126806025b20
133326385a71
141946c1b688
15d667226d9
hex803622a08

34416503304 has 128 divisors (see below), whose sum is σ = 92297318400. Its totient is φ = 10670526720.

The previous prime is 34416503267. The next prime is 34416503371. The reversal of 34416503304 is 40330561443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894239 + ... + 4901265.

It is an arithmetic number, because the mean of its divisors is an integer number (721072800).

Almost surely, 234416503304 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 34416503304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46148659200).

34416503304 is an abundant number, since it is smaller than the sum of its proper divisors (57880815096).

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

34416503304 is a wasteful number, since it uses less digits than its factorization.

34416503304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7319 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The spelling of 34416503304 in words is "thirty-four billion, four hundred sixteen million, five hundred three thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 227 232 248 348 372 454 681 696 744 899 908 1362 1798 1816 2697 2724 3596 5394 5448 6583 7027 7037 7192 10788 13166 14054 14074 19749 21081 21111 21576 26332 28108 28148 39498 42162 42222 52664 56216 56296 78996 84324 84444 157992 168648 168888 203783 204073 217837 407566 408146 435674 611349 612219 653511 815132 816292 871348 1222698 1224438 1307022 1595129 1630264 1632584 1742696 2445396 2448876 2614044 3190258 4785387 4890792 4897752 5228088 6317273 6380516 9570774 12634546 12761032 18951819 19141548 25269092 37903638 38283096 46258741 49448999 50538184 75807276 92517482 98897998 138776223 148346997 151614552 185034964 197795996 277552446 296693994 370069928 395591992 555104892 593387988 1110209784 1186775976 1434020971 2868041942 4302062913 5736083884 8604125826 11472167768 17208251652 34416503304