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35114940 = 22325729312
BaseRepresentation
bin1000010111110…
…0111110111100
32110002000122100
42011330332330
532442134230
63252345100
7604320630
oct205747674
973060570
1035114940
1118904413
12b915190
137376193
144940dc0
153139660
hex217cfbc

35114940 has 216 divisors, whose sum is σ = 130122720. Its totient is φ = 7499520.

The previous prime is 35114921. The next prime is 35114953. The reversal of 35114940 is 4941153.

It is a super-2 number, since 2×351149402 = 2466118022407200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1132725 + ... + 1132755.

It is an arithmetic number, because the mean of its divisors is an integer number (602420).

Almost surely, 235114940 is an apocalyptic number.

35114940 is a gapful number since it is divisible by the number (30) 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 35114940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65061360).

35114940 is an abundant number, since it is smaller than the sum of its proper divisors (95007780).

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

35114940 is a wasteful number, since it uses less digits than its factorization.

35114940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 35114940 is about 5925.7860238115. The cubic root of 35114940 is about 327.4643124876.

The spelling of 35114940 in words is "thirty-five million, one hundred fourteen thousand, nine hundred forty".