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3023924004 = 2232412107467
BaseRepresentation
bin1011010000111101…
…0110101100100100
321210202001020220100
42310033112230210
522143111032004
61220021104100
7134635633653
oct26417265444
97722036810
103023924004
111311a20952
12704858030
1339263ca5a
1420987319a
1512a71c739
hexb43d6b24

3023924004 has 108 divisors (see below), whose sum is σ = 7924945392. Its totient is φ = 972113280.

The previous prime is 3023923999. The next prime is 3023924017. The reversal of 3023924004 is 4004293203.

It is a happy number.

3023924004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×30239240043 (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6474979 + ... + 6475445.

It is an arithmetic number, because the mean of its divisors is an integer number (73379124).

Almost surely, 23023924004 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 3023924004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962472696).

3023924004 is an abundant number, since it is smaller than the sum of its proper divisors (4901021388).

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

3023924004 is a wasteful number, since it uses less digits than its factorization.

3023924004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3023924004 is about 54990.2173481793. The cubic root of 3023924004 is about 1446.0732445696.

The spelling of 3023924004 in words is "three billion, twenty-three million, nine hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 107 123 164 214 246 321 369 428 467 492 642 738 934 963 1284 1401 1476 1681 1868 1926 2802 3362 3852 4203 4387 5043 5604 6724 8406 8774 10086 13161 15129 16812 17548 19147 20172 26322 30258 38294 39483 49969 52644 57441 60516 76588 78966 99938 114882 149907 157932 172323 179867 199876 229764 299814 344646 359734 449721 539601 599628 689292 719468 785027 899442 1079202 1570054 1618803 1798884 2048729 2158404 2355081 3140108 3237606 4097458 4710162 6146187 6475212 7065243 8194916 9420324 12292374 14130486 18438561 24584748 28260972 36877122 73754244 83997889 167995778 251993667 335991556 503987334 755981001 1007974668 1511962002 3023924004