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2973422040 = 233531799307
BaseRepresentation
bin1011000100111010…
…1101000111011000
321200020000111020020
42301032231013120
522042144001130
61211014430440
7133453445631
oct26116550730
97606014206
102973422040
111296467a96
126ab962420
1338503a034
14202c88888
15126093e10
hexb13ad1d8

2973422040 has 64 divisors (see below), whose sum is σ = 9208028160. Its totient is φ = 767333760.

The previous prime is 2973422033. The next prime is 2973422041. The reversal of 2973422040 is 402243792.

2973422040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2973421992 and 2973422010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2973422041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395934 + ... + 403373.

It is an arithmetic number, because the mean of its divisors is an integer number (143875440).

Almost surely, 22973422040 is an apocalyptic number.

2973422040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2973422040 is an abundant number, since it is smaller than the sum of its proper divisors (6234606120).

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

2973422040 is a wasteful number, since it uses less digits than its factorization.

2973422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 799352 (or 799348 counting only the distinct ones).

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

The square root of 2973422040 is about 54529.0935189647. The cubic root of 2973422040 is about 1437.9778135869.

The spelling of 2973422040 in words is "two billion, nine hundred seventy-three million, four hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 799307 1598614 2397921 3197228 3996535 4795842 6394456 7993070 9591684 11989605 15986140 19183368 23979210 24778517 31972280 47958420 49557034 74335551 95916840 99114068 123892585 148671102 198228136 247785170 297342204 371677755 495570340 594684408 743355510 991140680 1486711020 2973422040