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3435406056 = 2332233204781
BaseRepresentation
bin1100110011000100…
…0010001011101000
322212102022201011100
43030301002023220
524013430443211
61324520401400
7151063320045
oct31461021350
98772281140
103435406056
111503219465
127ba616260
13429971664
142483861cc
151518ed156
hexccc422e8

3435406056 has 48 divisors (see below), whose sum is σ = 9344202660. Its totient is φ = 1140215040.

The previous prime is 3435406003. The next prime is 3435406067. The reversal of 3435406056 is 6506045343.

3435406056 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 40 + 605 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3411728100 + 23677956 = 58410^2 + 4866^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3435406056.

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 11 ways as a sum of consecutive naturals, for example, 85615 + ... + 119166.

Almost surely, 23435406056 is an apocalyptic number.

3435406056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3435406056 is an abundant number, since it is smaller than the sum of its proper divisors (5908796604).

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

3435406056 is a wasteful number, since it uses less digits than its factorization.

3435406056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205026 (or 205019 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3435406056 is about 58612.3370631133. The cubic root of 3435406056 is about 1508.8961796859.

The spelling of 3435406056 in words is "three billion, four hundred thirty-five million, four hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 466 699 932 1398 1864 2097 2796 4194 5592 8388 16776 204781 409562 614343 819124 1228686 1638248 1843029 2457372 3686058 4914744 7372116 14744232 47713973 95427946 143141919 190855892 286283838 381711784 429425757 572567676 858851514 1145135352 1717703028 3435406056