Search a number
-
+
1148414328 = 233317218397
BaseRepresentation
bin100010001110011…
…0110100101111000
32222000221111022000
41010130312211320
54322443224303
6305542301000
740313234505
oct10434664570
92860844260
101148414328
1153a282756
12280727760
13153c02409
14ac7424ac
156ac4ada3
hex44736978

1148414328 has 96 divisors (see below), whose sum is σ = 3388911600. Its totient is φ = 360267264.

The previous prime is 1148414303. The next prime is 1148414341. The reversal of 1148414328 is 8234148411.

It is a happy number.

1148414328 is a `hidden beast` number, since 11 + 484 + 143 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1148414292 and 1148414301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53226 + ... + 71622.

Almost surely, 21148414328 is an apocalyptic number.

1148414328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694455800).

1148414328 is an abundant number, since it is smaller than the sum of its proper divisors (2240497272).

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

1148414328 is a wasteful number, since it uses less digits than its factorization.

1148414328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18446 (or 18419 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1148414328 is about 33888.2623927519. The cubic root of 1148414328 is about 1047.2077977718.

The spelling of 1148414328 in words is "one billion, one hundred forty-eight million, four hundred fourteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 289 306 408 459 578 612 867 918 1156 1224 1734 1836 2312 2601 3468 3672 5202 6936 7803 10404 15606 18397 20808 31212 36794 55191 62424 73588 110382 147176 165573 220764 312749 331146 441528 496719 625498 662292 938247 993438 1250996 1324584 1876494 1986876 2501992 2814741 3752988 3973752 5316733 5629482 7505976 8444223 10633466 11258964 15950199 16888446 21266932 22517928 31900398 33776892 42533864 47850597 63800796 67553784 95701194 127601592 143551791 191402388 287103582 382804776 574207164 1148414328