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34375404 = 22373143307
BaseRepresentation
bin1000001100100…
…0011011101100
32101200110012010
42003020123230
532300003104
63224441220
7565120560
oct203103354
971613163
1034375404
1118449828
12b619210
13717769b
1447cb6a0
153040489
hex20c86ec

34375404 has 96 divisors (see below), whose sum is σ = 97140736. Its totient is φ = 9253440.

The previous prime is 34375381. The next prime is 34375441. The reversal of 34375404 is 40457343.

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, 111819 + ... + 112125.

Almost surely, 234375404 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 34375404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48570368).

34375404 is an abundant number, since it is smaller than the sum of its proper divisors (62765332).

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

34375404 is a wasteful number, since it uses less digits than its factorization.

34375404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 34375404 is about 5863.0541529138. The cubic root of 34375404 is about 325.1491354992.

The spelling of 34375404 in words is "thirty-four million, three hundred seventy-five thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 43 62 84 86 93 124 129 172 186 217 258 301 307 372 434 516 602 614 651 868 903 921 1204 1228 1302 1333 1806 1842 2149 2604 2666 3612 3684 3999 4298 5332 6447 7998 8596 9331 9517 12894 13201 15996 18662 19034 25788 26402 27993 28551 37324 38068 39603 52804 55986 57102 66619 79206 92407 111972 114204 133238 158412 184814 199857 266476 277221 369628 399714 409231 554442 799428 818462 1108884 1227693 1636924 2455386 2864617 4910772 5729234 8593851 11458468 17187702 34375404