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274104320 = 21557239
BaseRepresentation
bin10000010101101…
…000000000000000
3201002202221102212
4100111220000000
51030132314240
643111001252
76535563650
oct2025500000
9632687385
10274104320
111307a76a6
1277969228
1344a32009
1428592360
15190e6165
hex10568000

274104320 has 128 divisors (see below), whose sum is σ = 754963200. Its totient is φ = 93585408.

The previous prime is 274104307. The next prime is 274104331. The reversal of 274104320 is 23401472.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146761 + ... + 1146999.

It is an arithmetic number, because the mean of its divisors is an integer number (5898150).

Almost surely, 2274104320 is an apocalyptic number.

274104320 is a gapful number since it is divisible by the number (20) 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 274104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377481600).

274104320 is an abundant number, since it is smaller than the sum of its proper divisors (480858880).

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

274104320 is an frugal number, since it uses more digits than its factorization.

274104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 274104320 is about 16556.0961582131. The cubic root of 274104320 is about 649.5889472102.

Adding to 274104320 its reverse (23401472), we get a palindrome (297505792).

The spelling of 274104320 in words is "two hundred seventy-four million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 239 256 280 320 448 478 512 560 640 896 956 1024 1120 1195 1280 1673 1792 1912 2048 2240 2390 2560 3346 3584 3824 4096 4480 4780 5120 6692 7168 7648 8192 8365 8960 9560 10240 13384 14336 15296 16384 16730 17920 19120 20480 26768 28672 30592 32768 33460 35840 38240 40960 53536 57344 61184 66920 71680 76480 81920 107072 114688 122368 133840 143360 152960 163840 214144 229376 244736 267680 286720 305920 428288 489472 535360 573440 611840 856576 978944 1070720 1146880 1223680 1713152 1957888 2141440 2447360 3426304 3915776 4282880 4894720 6852608 7831552 8565760 9789440 13705216 17131520 19578880 27410432 34263040 39157760 54820864 68526080 137052160 274104320