Search a number
-
+
7334734416 = 243316773571
BaseRepresentation
bin1101101010010111…
…10010101001010000
3200221011121010002020
412311023302221100
5110010143000131
63211452451440
7346522133232
oct66513625120
920834533066
107334734416
1131242a2589
121508479b80
138cb775949
144d81b2252
152cddd9996
hex1b52f2a50

7334734416 has 80 divisors (see below), whose sum is σ = 19851491328. Its totient is φ = 2330697600.

The previous prime is 7334734403. The next prime is 7334734469. The reversal of 7334734416 is 6144374337.

It is a super-2 number, since 2×73347344162 (a number of 21 digits) 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 15 ways as a sum of consecutive naturals, for example, 62911 + ... + 136481.

Almost surely, 27334734416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7334734416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9925745664).

7334734416 is an abundant number, since it is smaller than the sum of its proper divisors (12516756912).

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

7334734416 is a wasteful number, since it uses less digits than its factorization.

7334734416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73680 (or 73674 counting only the distinct ones).

The product of its digits is 508032, while the sum is 42.

The square root of 7334734416 is about 85643.0640273922. The cubic root of 7334734416 is about 1942.9492831693.

The spelling of 7334734416 in words is "seven billion, three hundred thirty-four million, seven hundred thirty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 67 93 124 134 186 201 248 268 372 402 496 536 744 804 1072 1488 1608 2077 3216 4154 6231 8308 12462 16616 24924 33232 49848 73571 99696 147142 220713 294284 441426 588568 882852 1177136 1765704 2280701 3531408 4561402 4929257 6842103 9122804 9858514 13684206 14787771 18245608 19717028 27368412 29575542 36491216 39434056 54736824 59151084 78868112 109473648 118302168 152806967 236604336 305613934 458420901 611227868 916841802 1222455736 1833683604 2444911472 3667367208 7334734416