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3424975092 = 22327112275443
BaseRepresentation
bin1100110000100100…
…1111100011110100
322211200200202120100
43030021033203310
524003243200332
61323505034100
7150605544060
oct31411174364
98750622510
103424975092
1114a8344530
127b7025930
1342775b8a6
14246c2caa0
15150a3c67c
hexcc24f8f4

3424975092 has 144 divisors (see below), whose sum is σ = 10843402752. Its totient is φ = 885522240.

The previous prime is 3424975051. The next prime is 3424975121. The reversal of 3424975092 is 2905794243.

3424975092 is a `hidden beast` number, since 3 + 424 + 97 + 50 + 92 = 666.

3424975092 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 626523 + ... + 631965.

It is an arithmetic number, because the mean of its divisors is an integer number (75301408).

Almost surely, 23424975092 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 3424975092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5421701376).

3424975092 is an abundant number, since it is smaller than the sum of its proper divisors (7418427660).

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

3424975092 is a wasteful number, since it uses less digits than its factorization.

3424975092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5698 (or 5693 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3424975092 is about 58523.2867498058. The cubic root of 3424975092 is about 1507.3674716625.

The spelling of 3424975092 in words is "three billion, four hundred twenty-four million, nine hundred seventy-five thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 227 231 252 308 396 454 462 681 693 908 924 1362 1386 1589 2043 2497 2724 2772 3178 4086 4767 4994 5443 6356 7491 8172 9534 9988 10886 14301 14982 16329 17479 19068 21772 22473 28602 29964 32658 34958 38101 44946 48987 52437 57204 59873 65316 69916 76202 89892 97974 104874 114303 119746 152404 157311 179619 195948 209748 228606 239492 314622 342909 359238 419111 457212 538857 629244 685818 718476 838222 1077714 1235561 1257333 1371636 1676444 2155428 2471122 2514666 3706683 3771999 4942244 5029332 7413366 7543998 8648927 11120049 13591171 14826732 15087996 17297854 22240098 25946781 27182342 34595708 40773513 44480196 51893562 54364684 77840343 81547026 95138197 103787124 122320539 155680686 163094052 190276394 244641078 285414591 311361372 380552788 489282156 570829182 856243773 1141658364 1712487546 3424975092