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3076840920 = 2335434011487
BaseRepresentation
bin1011011101100100…
…1101110111011000
321221102121201021010
42313121031313120
522300132402140
61225151213520
7136150500456
oct26731156730
97842551233
103076840920
11133988413a
1271a5172a0
133a05a9a3a
142128c99d6
151301c1880
hexb764ddd8

3076840920 has 128 divisors (see below), whose sum is σ = 9475107840. Its totient is φ = 798873600.

The previous prime is 3076840889. The next prime is 3076840937. The reversal of 3076840920 is 290486703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2068417 + ... + 2069903.

It is an arithmetic number, because the mean of its divisors is an integer number (74024280).

Almost surely, 23076840920 is an apocalyptic number.

3076840920 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 3076840920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737553920).

3076840920 is an abundant number, since it is smaller than the sum of its proper divisors (6398266920).

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

3076840920 is a wasteful number, since it uses less digits than its factorization.

3076840920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1941 counting only the distinct ones).

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

The square root of 3076840920 is about 55469.2790650825. The cubic root of 3076840920 is about 1454.4596616680.

The spelling of 3076840920 in words is "three billion, seventy-six million, eight hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 401 430 516 645 802 860 1032 1203 1290 1487 1604 1720 2005 2406 2580 2974 3208 4010 4461 4812 5160 5948 6015 7435 8020 8922 9624 11896 12030 14870 16040 17243 17844 22305 24060 29740 34486 35688 44610 48120 51729 59480 63941 68972 86215 89220 103458 127882 137944 172430 178440 191823 206916 255764 258645 319705 344860 383646 413832 511528 517290 596287 639410 689720 767292 959115 1034580 1192574 1278820 1534584 1788861 1918230 2069160 2385148 2557640 2981435 3577722 3836460 4770296 5962870 7155444 7672920 8944305 11925740 14310888 17888610 23851480 25640341 35777220 51280682 71554440 76921023 102561364 128201705 153842046 205122728 256403410 307684092 384605115 512806820 615368184 769210230 1025613640 1538420460 3076840920