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34212300304 = 2471373409787
BaseRepresentation
bin11111110111001101…
…100100011000010000
310021022022110221002111
4133313031210120100
51030031322102204
623414504155104
72320545516520
oct376715443020
9107268427074
1034212300304
1113566a51656
126769768a94
1332c2c896a0
141927a63680
15d53837d04
hex7f7364610

34212300304 has 160 divisors (see below), whose sum is σ = 83008298240. Its totient is φ = 13299572736.

The previous prime is 34212300289. The next prime is 34212300307. The reversal of 34212300304 is 40300321243.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34212300307) 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, 43471399 + ... + 43472185.

It is an arithmetic number, because the mean of its divisors is an integer number (518801864).

Almost surely, 234212300304 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 34212300304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41504149120).

34212300304 is an abundant number, since it is smaller than the sum of its proper divisors (48795997936).

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

34212300304 is a wasteful number, since it uses less digits than its factorization.

34212300304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 34212300304 its reverse (40300321243), we get a palindrome (74512621547).

The spelling of 34212300304 in words is "thirty-four billion, two hundred twelve million, three hundred thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 73 91 104 112 146 182 208 292 364 409 511 584 728 787 818 949 1022 1168 1456 1574 1636 1898 2044 2863 3148 3272 3796 4088 5317 5509 5726 6296 6544 6643 7592 8176 10231 10634 11018 11452 12592 13286 15184 20462 21268 22036 22904 26572 29857 37219 40924 42536 44072 45808 53144 57451 59714 71617 74438 81848 85072 88144 106288 114902 119428 143234 148876 163696 208999 229804 238856 286468 297752 321883 388141 402157 417998 459608 477712 572936 595504 643766 746863 776282 804314 835996 919216 1145872 1287532 1493726 1552564 1608628 1671992 2253181 2575064 2716987 2987452 3105128 3217256 3343984 4184479 4506362 5150128 5228041 5433974 5974904 6210256 6434512 8368958 9012724 10456082 10867948 11949808 16737916 18025448 20912164 21735896 23497459 29291353 33475832 36050896 41824328 43471792 46994918 58582706 66951664 83648656 93989836 117165412 164482213 187979672 234330824 305466967 328964426 375959344 468661648 610933934 657928852 1221867868 1315857704 2138268769 2443735736 2631715408 4276537538 4887471472 8553075076 17106150152 34212300304