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3029975040 = 2143512329
BaseRepresentation
bin1011010010011001…
…1100000000000000
321211011102200100210
42310212130000000
522201133200130
61220354514120
7135041235321
oct26446340000
97734380323
103029975040
111315384104
12706895940
1339397b051
1420a5aa448
1512b0155b0
hexb499c000

3029975040 has 120 divisors (see below), whose sum is σ = 9696410640. Its totient is φ = 807927808.

The previous prime is 3029975033. The next prime is 3029975041. The reversal of 3029975040 is 405799203.

It is a tau number, because it is divible by the number of its divisors (120).

It is a self number, because there is not a number n which added to its sum of digits gives 3029975040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3029975041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239596 + ... + 251924.

It is an arithmetic number, because the mean of its divisors is an integer number (80803422).

Almost surely, 23029975040 is an apocalyptic number.

3029975040 is a gapful number since it is divisible by the number (30) 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 3029975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848205320).

3029975040 is an abundant number, since it is smaller than the sum of its proper divisors (6666435600).

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

3029975040 is an equidigital number, since it uses as much as digits as its factorization.

3029975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12365 (or 12339 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 3029975040 is about 55045.2090558297. The cubic root of 3029975040 is about 1447.0371589140.

The spelling of 3029975040 in words is "three billion, twenty-nine million, nine hundred seventy-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 12329 15360 16384 20480 24576 24658 30720 36987 40960 49152 49316 61440 61645 73974 81920 98632 122880 123290 147948 184935 197264 245760 246580 295896 369870 394528 493160 591792 739740 789056 986320 1183584 1479480 1578112 1972640 2367168 2958960 3156224 3945280 4734336 5917920 6312448 7890560 9468672 11835840 12624896 15781120 18937344 23671680 25249792 31562240 37874688 47343360 50499584 63124480 75749376 94686720 100999168 126248960 151498752 189373440 201998336 252497920 302997504 378746880 504995840 605995008 757493760 1009991680 1514987520 3029975040