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34552938 = 2372211557
BaseRepresentation
bin1000001111001…
…1110001101010
32102000110201110
42003303301222
532321143223
63232331150
7566460300
oct203636152
972013643
1034552938
1118560152
12b6a3ab6
13720a434
144836270
153077d93
hex20f3c6a

34552938 has 48 divisors (see below), whose sum is σ = 80914464. Its totient is φ = 9807840.

The previous prime is 34552927. The next prime is 34552957. The reversal of 34552938 is 83925543.

34552938 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 34552896 and 34552905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61756 + ... + 62312.

It is an arithmetic number, because the mean of its divisors is an integer number (1685718).

Almost surely, 234552938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34552938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40457232).

34552938 is an abundant number, since it is smaller than the sum of its proper divisors (46361526).

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

34552938 is a wasteful number, since it uses less digits than its factorization.

34552938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 34552938 is about 5878.1747166957. The cubic root of 34552938 is about 325.7079258860.

The spelling of 34552938 in words is "thirty-four million, five hundred fifty-two thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 211 294 422 557 633 1114 1266 1477 1671 2954 3342 3899 4431 7798 8862 10339 11697 20678 23394 27293 31017 54586 62034 81879 117527 163758 235054 352581 705162 822689 1645378 2468067 4936134 5758823 11517646 17276469 34552938