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34424042408 = 2372343162011
BaseRepresentation
bin100000000011110101…
…010011001110101000
310021212001220112122122
4200003311103032220
51031000023324113
623451510410412
72326026350450
oct400365231650
9107761815578
1034424042408
1113665524628
126808660a08
133327ac5482
141947c20d60
15d67211408
hex803d533a8

34424042408 has 64 divisors (see below), whose sum is σ = 77152849920. Its totient is φ = 14078750400.

The previous prime is 34424042371. The next prime is 34424042413. The reversal of 34424042408 is 80424042443.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 524123 + ... + 586133.

It is an arithmetic number, because the mean of its divisors is an integer number (1205513280).

Almost surely, 234424042408 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 34424042408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38576424960).

34424042408 is an abundant number, since it is smaller than the sum of its proper divisors (42728807512).

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

34424042408 is a wasteful number, since it uses less digits than its factorization.

34424042408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62478 (or 62474 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 34424042408 its sum of digits (35), we get a palindrome (34424042443).

The spelling of 34424042408 in words is "thirty-four billion, four hundred twenty-four million, forty-two thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 431 644 862 1288 1724 3017 3448 6034 9913 12068 19826 24136 39652 62011 69391 79304 124022 138782 248044 277564 434077 496088 555128 868154 1426253 1736308 2852506 3472616 5705012 9983771 11410024 19967542 26726741 39935084 53453482 79870168 106906964 187087187 213813928 374174374 614715043 748348748 1229430086 1496697496 2458860172 4303005301 4917720344 8606010602 17212021204 34424042408