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34250420192 = 2523142732611
BaseRepresentation
bin11111111001011110…
…111110111111100000
310021101222012121202012
4133321132332333200
51030121101421232
623422345212052
72321520524312
oct377136767740
9107358177665
1034250420192
111358651869a
12677a491028
1332cab45531
14192cb477b2
15d56d679b2
hex7f97befe0

34250420192 has 48 divisors (see below), whose sum is σ = 70413743232. Its totient is φ = 16368654720.

The previous prime is 34250420177. The next prime is 34250420203. The reversal of 34250420192 is 29102405243.

It is a super-2 number, since 2×342504201922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1033967 + ... + 1066577.

It is an arithmetic number, because the mean of its divisors is an integer number (1466952984).

Almost surely, 234250420192 is an apocalyptic number.

34250420192 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34250420192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35206871616).

34250420192 is an abundant number, since it is smaller than the sum of its proper divisors (36163323040).

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

34250420192 is a wasteful number, since it uses less digits than its factorization.

34250420192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34071 (or 34063 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 34250420192 in words is "thirty-four billion, two hundred fifty million, four hundred twenty thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1427 2854 5708 11416 22832 32611 32821 45664 65222 65642 130444 131284 260888 262568 521776 525136 750053 1043552 1050272 1500106 3000212 6000424 12000848 24001696 46535897 93071794 186143588 372287176 744574352 1070325631 1489148704 2140651262 4281302524 8562605048 17125210096 34250420192