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3840040704 = 28310914583
BaseRepresentation
bin1110010011100010…
…0101111100000000
3100220121201021112210
43210320211330000
530331022300304
61433013222120
7164105543643
oct34470457400
910817637483
103840040704
1116a066a465
128b2031940
13492746646
14285dd5a5a
151771c9c89
hexe4e25f00

3840040704 has 72 divisors (see below), whose sum is σ = 10231708032. Its totient is φ = 1278561280.

The previous prime is 3840040703. The next prime is 3840040741. The reversal of 3840040704 is 4070400483.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3840040703) 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, 835597 + ... + 840179.

It is an arithmetic number, because the mean of its divisors is an integer number (142107056).

Almost surely, 23840040704 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 3840040704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5115854016).

3840040704 is an abundant number, since it is smaller than the sum of its proper divisors (6391667328).

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

3840040704 is a wasteful number, since it uses less digits than its factorization.

3840040704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5693 (or 5679 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 3840040704 is about 61968.0619674361. The cubic root of 3840040704 is about 1565.9525894609.

The spelling of 3840040704 in words is "three billion, eight hundred forty million, forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 1091 2182 3273 4364 4583 6546 8728 9166 13092 13749 17456 18332 26184 27498 34912 36664 52368 54996 69824 73328 104736 109992 139648 146656 209472 219984 279296 293312 418944 439968 586624 837888 879936 1173248 1759872 3519744 5000053 10000106 15000159 20000212 30000318 40000424 60000636 80000848 120001272 160001696 240002544 320003392 480005088 640006784 960010176 1280013568 1920020352 3840040704