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3464333640 = 233259623149
BaseRepresentation
bin1100111001111101…
…1000100101001000
322221102202101100100
43032133120211020
524043332134030
61331432405400
7151564231035
oct31637304510
98842671310
103464333640
111518587159
12808246860
1343295c481
1424c15638c
15154214360
hexce7d8948

3464333640 has 48 divisors (see below), whose sum is σ = 11259085500. Its totient is φ = 923822208.

The previous prime is 3464333629. The next prime is 3464333647. The reversal of 3464333640 is 463334643.

3464333640 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 3 + 3 + 3 + 640 = 666.

3464333640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2785939524 + 678394116 = 52782^2 + 26046^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3464333595 and 3464333604.

It is not an unprimeable number, because it can be changed into a prime (3464333647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4811215 + ... + 4811934.

Almost surely, 23464333640 is an apocalyptic number.

3464333640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3464333640 is an abundant number, since it is smaller than the sum of its proper divisors (7794751860).

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

3464333640 is a wasteful number, since it uses less digits than its factorization.

3464333640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9623166 (or 9623159 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The square root of 3464333640 is about 58858.5901971836. The cubic root of 3464333640 is about 1513.1195307332.

The spelling of 3464333640 in words is "three billion, four hundred sixty-four million, three hundred thirty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 9623149 19246298 28869447 38492596 48115745 57738894 76985192 86608341 96231490 115477788 144347235 173216682 192462980 230955576 288694470 346433364 384925960 433041705 577388940 692866728 866083410 1154777880 1732166820 3464333640