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3730267968 = 263713121187
BaseRepresentation
bin1101111001010111…
…0101111101000000
3100121222011020122220
43132111311331000
530114422033333
61414052331040
7161303516550
oct33625657500
910558136586
103730267968
111644703599
12881313a80
13475a9086b
142755bd160
1516c7448b3
hexde575f40

3730267968 has 112 divisors (see below), whose sum is σ = 11366260224. Its totient is φ = 1057605120.

The previous prime is 3730267943. The next prime is 3730268021. The reversal of 3730267968 is 8697620373.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×37302679682 = 27829798226173698048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3730267968.

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, 165471 + ... + 186657.

Almost surely, 23730267968 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 3730267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5683130112).

3730267968 is an abundant number, since it is smaller than the sum of its proper divisors (7635992256).

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

3730267968 is a wasteful number, since it uses less digits than its factorization.

3730267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21340 (or 21330 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 3730267968 is about 61075.9197065423. The cubic root of 3730267968 is about 1550.8864811802.

The spelling of 3730267968 in words is "three billion, seven hundred thirty million, two hundred sixty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1344 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 21187 22008 25152 29344 42374 44016 58688 63561 84748 88032 127122 148309 169496 176064 254244 296618 338992 444927 508488 593236 677984 889854 1016976 1186472 1355968 1779708 2033952 2372944 2775497 3559416 4067904 4745888 5550994 7118832 8326491 9491776 11101988 14237664 16652982 19428479 22203976 28475328 33305964 38856958 44407952 58285437 66611928 77713916 88815904 116570874 133223856 155427832 177631808 233141748 266447712 310855664 466283496 532895424 621711328 932566992 1243422656 1865133984 3730267968