Search a number
-
+
3379429056 = 263173101741
BaseRepresentation
bin1100100101101101…
…1111111011000000
322201111222210011010
43021123133323000
523410113212211
61315200520520
7146513446563
oct31133377300
98644883133
103379429056
111484666083
127a3920140
1341b1a2883
14240b744da
1514ba424a6
hexc96dfec0

3379429056 has 56 divisors (see below), whose sum is σ = 8993178864. Its totient is φ = 1119953920.

The previous prime is 3379429051. The next prime is 3379429061. The reversal of 3379429056 is 6509249733.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3379429051) and next prime (3379429061).

It is a super-2 number, since 2×33794290562 = 22841081489074102272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3379428996 and 3379429014.

It is not an unprimeable number, because it can be changed into a prime (3379429051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17655 + ... + 84086.

Almost surely, 23379429056 is an apocalyptic number.

It is an amenable number.

3379429056 is an abundant number, since it is smaller than the sum of its proper divisors (5613749808).

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

3379429056 is a wasteful number, since it uses less digits than its factorization.

3379429056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101929 (or 101919 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 48.

The square root of 3379429056 is about 58132.8569399440. The cubic root of 3379429056 is about 1500.6558696260.

The spelling of 3379429056 in words is "three billion, three hundred seventy-nine million, four hundred twenty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 33216 101741 203482 305223 406964 610446 813928 1220892 1627856 2441784 3255712 4883568 6511424 9767136 17601193 19534272 35202386 52803579 70404772 105607158 140809544 211214316 281619088 422428632 563238176 844857264 1126476352 1689714528 3379429056