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274290688 = 211719253
BaseRepresentation
bin10000010110010…
…101100000000000
3201010010102002101
4100112111200000
51030204300223
643115000144
76540301210
oct2026254000
9633112071
10274290688
11130914721
1277a39054
1344a98aa9
1428600240
15191314ad
hex10595800

274290688 has 144 divisors (see below), whose sum is σ = 674004240. Its totient is φ = 109264896.

The previous prime is 274290659. The next prime is 274290689. The reversal of 274290688 is 886092472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (274290689) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5175270 + ... + 5175322.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2274290688 is an apocalyptic number.

274290688 is a gapful number since it is divisible by the number (28) 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 274290688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337002120).

274290688 is an abundant number, since it is smaller than the sum of its proper divisors (399713552).

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

274290688 is an equidigital number, since it uses as much as digits as its factorization.

274290688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The square root of 274290688 is about 16561.7235818015. The cubic root of 274290688 is about 649.7361358983.

The spelling of 274290688 in words is "two hundred seventy-four million, two hundred ninety thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 53 56 64 76 106 112 128 133 152 212 224 256 266 304 361 371 424 448 512 532 608 722 742 848 896 1007 1024 1064 1216 1444 1484 1696 1792 2014 2048 2128 2432 2527 2888 2968 3392 3584 4028 4256 4864 5054 5776 5936 6784 7049 7168 8056 8512 9728 10108 11552 11872 13568 14098 14336 16112 17024 19133 19456 20216 23104 23744 27136 28196 32224 34048 38266 38912 40432 46208 47488 54272 56392 64448 68096 76532 80864 92416 94976 108544 112784 128896 133931 136192 153064 161728 184832 189952 225568 257792 267862 272384 306128 323456 369664 379904 451136 515584 535724 612256 646912 739328 759808 902272 1031168 1071448 1224512 1293824 1804544 2062336 2142896 2449024 2587648 3609088 4285792 4898048 5175296 7218176 8571584 9796096 14436352 17143168 19592192 34286336 39184384 68572672 137145344 274290688