Search a number
-
+
34758152 = 231113231321
BaseRepresentation
bin1000010010010…
…1111000001000
32102101220012222
42010211320020
532344230102
63240553212
7601303502
oct204457010
972356188
1034758152
1118690350
12b782808
13727c970
14488ad72
1530b8aa2
hex2125e08

34758152 has 64 divisors (see below), whose sum is σ = 79954560. Its totient is φ = 13939200.

The previous prime is 34758137. The next prime is 34758179. The reversal of 34758152 is 25185743.

It is a happy 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, 25652 + ... + 26972.

It is an arithmetic number, because the mean of its divisors is an integer number (1249290).

Almost surely, 234758152 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 34758152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977280).

34758152 is an abundant number, since it is smaller than the sum of its proper divisors (45196408).

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

34758152 is a wasteful number, since it uses less digits than its factorization.

34758152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 1370 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 34758152 is about 5895.6044643446. The cubic root of 34758152 is about 326.3514595653.

The spelling of 34758152 in words is "thirty-four million, seven hundred fifty-eight thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 143 184 253 286 299 506 572 598 1012 1144 1196 1321 2024 2392 2642 3289 5284 6578 10568 13156 14531 17173 26312 29062 30383 34346 58124 60766 68692 116248 121532 137384 188903 243064 334213 377806 394979 668426 755612 789958 1336852 1511224 1579916 2673704 3159832 4344769 8689538 17379076 34758152