Search a number
-
+
274290432 = 2831383331
BaseRepresentation
bin10000010110010…
…101011100000000
3201010010101201220
4100112111130000
51030204243212
643114555040
76540300363
oct2026253400
9633111656
10274290432
11130914509
1277a38a80
1344a98940
14286000da
151913138c
hex10595700

274290432 has 144 divisors (see below), whose sum is σ = 798043008. Its totient is φ = 83128320.

The previous prime is 274290413. The next prime is 274290473. The reversal of 274290432 is 234092472.

It is a junction number, because it is equal to n+sod(n) for n = 274290393 and 274290402.

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, 828507 + ... + 828837.

Almost surely, 2274290432 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 274290432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399021504).

274290432 is an abundant number, since it is smaller than the sum of its proper divisors (523752576).

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

274290432 is a wasteful number, since it uses less digits than its factorization.

274290432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 274290432 is about 16561.7158531355. The cubic root of 274290432 is about 649.7359337617.

The spelling of 274290432 in words is "two hundred seventy-four million, two hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 331 332 384 416 498 624 662 664 768 832 993 996 1079 1248 1324 1328 1664 1986 1992 2158 2496 2648 2656 3237 3328 3972 3984 4303 4316 4992 5296 5312 6474 7944 7968 8606 8632 9984 10592 10624 12909 12948 15888 15936 17212 17264 21184 21248 25818 25896 27473 31776 31872 34424 34528 42368 51636 51792 54946 63552 63744 68848 69056 82419 84736 103272 103584 109892 127104 137696 138112 164838 206544 207168 219784 254208 275392 276224 329676 357149 413088 414336 439568 550784 659352 714298 826176 828672 879136 1071447 1101568 1318704 1428596 1652352 1758272 2142894 2637408 2857192 3304704 3516544 4285788 5274816 5714384 7033088 8571576 10549632 11428768 17143152 21099264 22857536 34286304 45715072 68572608 91430144 137145216 274290432