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3042145692 = 2232232315153
BaseRepresentation
bin1011010101010011…
…0111010110011100
321212000100000100200
42311110313112130
522212242130232
61221511423500
7135246545265
oct26524672634
97760300320
103042145692
1113212370a3
1270a984b90
1339634c911
1420c05796c
1512c11b77c
hexb553759c

3042145692 has 108 divisors (see below), whose sum is σ = 8299671744. Its totient is φ = 938488320.

The previous prime is 3042145663. The next prime is 3042145693. The reversal of 3042145692 is 2965412403.

It is a happy number.

3042145692 is a `hidden beast` number, since 304 + 214 + 56 + 92 = 666.

It is a super-2 number, since 2×30421456922 = 18509300822708317728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042145693) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 587788 + ... + 592940.

Almost surely, 23042145692 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 3042145692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149835872).

3042145692 is an abundant number, since it is smaller than the sum of its proper divisors (5257526052).

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

3042145692 is a wasteful number, since it uses less digits than its factorization.

3042145692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3042145692 is about 55155.6496834187. The cubic root of 3042145692 is about 1448.9720327180.

The spelling of 3042145692 in words is "three billion, forty-two million, one hundred forty-five thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 23 31 36 46 62 69 92 93 124 138 186 207 276 279 372 414 529 558 713 828 1058 1116 1426 1587 2116 2139 2852 3174 4278 4761 5153 6348 6417 8556 9522 10306 12834 15459 16399 19044 20612 25668 30918 32798 46377 49197 61836 65596 92754 98394 118519 147591 159743 185508 196788 237038 295182 319486 355557 474076 479229 590364 638972 711114 958458 1066671 1422228 1437687 1916916 2133342 2725937 2875374 3674089 4266684 5451874 5750748 7348178 8177811 10903748 11022267 14696356 16355622 22044534 24533433 32711244 33066801 44089068 49066866 66133602 84504047 98133732 132267204 169008094 253512141 338016188 507024282 760536423 1014048564 1521072846 3042145692