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3078130944 = 28371015669
BaseRepresentation
bin1011011101111000…
…1000110100000000
321221112001020211210
42313132020310000
522301000142234
61225235010120
7136164452460
oct26736106400
97845036753
103078130944
11133a585379
1271aa39940
133a093bc75
14212b43ba0
15130378be9
hexb7788d00

3078130944 has 144 divisors (see below), whose sum is σ = 9457015680. Its totient is φ = 870604800.

The previous prime is 3078130907. The next prime is 3078131039. The reversal of 3078130944 is 4490318703.

It is a super-2 number, since 2×30781309442 = 18949780216820662272, which contains 22 as substring.

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, 540142 + ... + 545810.

It is an arithmetic number, because the mean of its divisors is an integer number (65673720).

Almost surely, 23078130944 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 3078130944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728507840).

3078130944 is an abundant number, since it is smaller than the sum of its proper divisors (6378884736).

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

3078130944 is a wasteful number, since it uses less digits than its factorization.

3078130944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5796 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 3078130944 is about 55480.9061209350. The cubic root of 3078130944 is about 1454.6629032132.

The spelling of 3078130944 in words is "three billion, seventy-eight million, one hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 606 672 707 768 808 896 1212 1344 1414 1616 1792 2121 2424 2688 2828 3232 4242 4848 5376 5656 5669 6464 8484 9696 11312 11338 12928 16968 17007 19392 22624 22676 25856 33936 34014 38784 39683 45248 45352 67872 68028 77568 79366 90496 90704 119049 135744 136056 158732 180992 181408 238098 271488 272112 317464 362816 476196 542976 544224 572569 634928 725632 952392 1088448 1145138 1269856 1451264 1717707 1904784 2176896 2290276 2539712 3435414 3809568 4007983 4353792 4580552 5079424 6870828 7619136 8015966 9161104 10158848 12023949 13741656 15238272 16031932 18322208 24047898 27483312 30476544 32063864 36644416 48095796 54966624 64127728 73288832 96191592 109933248 128255456 146577664 192383184 219866496 256510912 384766368 439732992 513021824 769532736 1026043648 1539065472 3078130944