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297949920 = 2535472281
BaseRepresentation
bin10001110000100…
…101101011100000
3202202122102110020
4101300211223200
51102233344140
645322033440
710245350442
oct2160455340
9682572406
10297949920
11143204204
1283948880
1349960938
142b7dc492
151b2566d0
hex11c25ae0

297949920 has 144 divisors (see below), whose sum is σ = 962348688. Its totient is φ = 77486080.

The previous prime is 297949919. The next prime is 297949933. The reversal of 297949920 is 29949792.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

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, 1060180 + ... + 1060460.

It is an arithmetic number, because the mean of its divisors is an integer number (6682977).

Almost surely, 2297949920 is an apocalyptic number.

297949920 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 297949920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481174344).

297949920 is an abundant number, since it is smaller than the sum of its proper divisors (664398768).

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

297949920 is a wasteful number, since it uses less digits than its factorization.

297949920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 51.

The square root of 297949920 is about 17261.2259124316. The cubic root of 297949920 is about 667.9045843613.

The spelling of 297949920 in words is "two hundred ninety-seven million, nine hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 281 282 376 470 480 562 564 705 752 843 940 1124 1128 1405 1410 1504 1686 1880 2209 2248 2256 2810 2820 3372 3760 4215 4418 4496 4512 5620 5640 6627 6744 7520 8430 8836 8992 11045 11240 11280 13207 13254 13488 16860 17672 22090 22480 22560 26414 26508 26976 33135 33720 35344 39621 44180 44960 52828 53016 66035 66270 67440 70688 79242 88360 105656 106032 132070 132540 134880 158484 176720 198105 211312 212064 264140 265080 316968 353440 396210 422624 528280 530160 620729 633936 792420 1056560 1060320 1241458 1267872 1584840 1862187 2113120 2482916 3103645 3169680 3724374 4965832 6207290 6339360 7448748 9310935 9931664 12414580 14897496 18621870 19863328 24829160 29794992 37243740 49658320 59589984 74487480 99316640 148974960 297949920