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34103413224 = 233231149910193
BaseRepresentation
bin11111110000101110…
…001100100111101000
310021000201120220002200
4133300232030213220
51024320433210344
623400014300200
72315054141466
oct376056144750
9107021526080
1034103413224
1113510540131
1267391b7660
1332a6553a6a
1419173db836
15d48eca069
hex7f0b8c9e8

34103413224 has 96 divisors (see below), whose sum is σ = 95415840000. Its totient is φ = 10992683520.

The previous prime is 34103413217. The next prime is 34103413249. The reversal of 34103413224 is 42231430143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3340672 + ... + 3350864.

It is an arithmetic number, because the mean of its divisors is an integer number (993915000).

Almost surely, 234103413224 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 34103413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47707920000).

34103413224 is an abundant number, since it is smaller than the sum of its proper divisors (61312426776).

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

34103413224 is a wasteful number, since it uses less digits than its factorization.

34103413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11735 (or 11728 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34103413224 its reverse (42231430143), we get a palindrome (76334843367).

The spelling of 34103413224 in words is "thirty-four billion, one hundred three million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 1499 2232 2998 4497 5996 8994 10193 11992 13491 17988 20386 26982 30579 35976 40772 46469 53964 61158 81544 91737 92938 107928 122316 139407 183474 185876 244632 278814 315983 366948 371752 418221 557628 631966 733896 836442 947949 1115256 1263932 1672884 1895898 2527864 2843847 3345768 3791796 5687694 7583592 11375388 15279307 22750776 30558614 45837921 61117228 91675842 122234456 137513763 183351684 275027526 366703368 473658517 550055052 947317034 1100110104 1420975551 1894634068 2841951102 3789268136 4262926653 5683902204 8525853306 11367804408 17051706612 34103413224