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34806954 = 2373131301
BaseRepresentation
bin1000010011000…
…1110010101010
32102111101011110
42010301302222
532402310304
63242011150
7601566000
oct204616252
972441143
1034806954
1118713a86
12b7a6ab6
137298c40
1448a0a70
1530c8289
hex2131caa

34806954 has 64 divisors (see below), whose sum is σ = 87494400. Its totient is φ = 9172800.

The previous prime is 34806949. The next prime is 34806979. The reversal of 34806954 is 45960843.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26104 + ... + 27404.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 234806954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34806954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43747200).

34806954 is an abundant number, since it is smaller than the sum of its proper divisors (52687446).

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

34806954 is a wasteful number, since it uses less digits than its factorization.

34806954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 34806954 is about 5899.7418587596. The cubic root of 34806954 is about 326.5041254862.

The spelling of 34806954 in words is "thirty-four million, eight hundred six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1301 1911 2058 2602 3822 3903 4459 7806 8918 9107 13377 16913 18214 26754 27321 33826 50739 54642 63749 101478 118391 127498 191247 236782 355173 382494 446243 710346 828737 892486 1338729 1657474 2486211 2677458 4972422 5801159 11602318 17403477 34806954