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2940296040 = 2332511742499
BaseRepresentation
bin1010111101000001…
…0101101101101000
321120220200111220100
42233100111231220
522010203433130
61203432425400
7132602050443
oct25720255550
97526614810
102940296040
1112797a1a30
126a0848260
1337b20c256
141dc70465a
151231edc60
hexaf415b68

2940296040 has 96 divisors (see below), whose sum is σ = 10424700000. Its totient is φ = 712798080.

The previous prime is 2940296039. The next prime is 2940296059. The reversal of 2940296040 is 406920492.

2940296040 is a `hidden beast` number, since 2 + 9 + 40 + 2 + 9 + 604 + 0 = 666.

2940296040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2940295986 and 2940296004.

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, 367290 + ... + 375209.

It is an arithmetic number, because the mean of its divisors is an integer number (108590625).

Almost surely, 22940296040 is an apocalyptic number.

2940296040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2940296040 is an abundant number, since it is smaller than the sum of its proper divisors (7484403960).

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

2940296040 is a wasteful number, since it uses less digits than its factorization.

2940296040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742527 (or 742520 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2940296040 is about 54224.4966781620. The cubic root of 2940296040 is about 1432.6178333852.

The spelling of 2940296040 in words is "two billion, nine hundred forty million, two hundred ninety-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 742499 1484998 2227497 2969996 3712495 4454994 5939992 6682491 7424990 8167489 8909988 11137485 13364982 14849980 16334978 17819976 22274970 24502467 26729964 29699960 32669956 33412455 40837445 44549940 49004934 53459928 65339912 66824910 73507401 81674890 89099880 98009868 122512335 133649820 147014802 163349780 196019736 245024670 267299640 294029604 326699560 367537005 490049340 588059208 735074010 980098680 1470148020 2940296040