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4024829340 = 22325723138883
BaseRepresentation
bin1110111111100110…
…0000010110011100
3101101111102111220100
43233321200112130
531220324014330
61503214021100
7201511325220
oct35771402634
911344374810
104024829340
111785a02944
12943aa7790
134c1b0602c
142a2778780
1518852c060
hexefe6059c

4024829340 has 144 divisors (see below), whose sum is σ = 14559487488. Its totient is φ = 879956352.

The previous prime is 4024829323. The next prime is 4024829357. The reversal of 4024829340 is 439284204.

It is an interprime number because it is at equal distance from previous prime (4024829323) and next prime (4024829357).

It is a super-2 number, since 2×40248293402 = 32398502432249671200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4024829295 and 4024829304.

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, 40462 + ... + 98421.

It is an arithmetic number, because the mean of its divisors is an integer number (101107552).

Almost surely, 24024829340 is an apocalyptic number.

It is an amenable number.

4024829340 is an abundant number, since it is smaller than the sum of its proper divisors (10534658148).

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

4024829340 is a wasteful number, since it uses less digits than its factorization.

4024829340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138928 (or 138923 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 4024829340 is about 63441.5426987711. The cubic root of 4024829340 is about 1590.6787893261.

The spelling of 4024829340 in words is "four billion, twenty-four million, eight hundred twenty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 7245 9660 14490 28980 138883 277766 416649 555532 694415 833298 972181 1249947 1388830 1666596 1944362 2083245 2499894 2777660 2916543 3194309 3888724 4166490 4860905 4999788 5833086 6249735 6388618 8332980 8749629 9582927 9721810 11666172 12499470 12777236 14582715 15971545 17499258 19165854 19443620 22360163 24998940 28748781 29165430 31943090 34998516 38331708 43748145 44720326 47914635 57497562 58330860 63886180 67080489 87496290 89440652 95829270 111800815 114995124 134160978 143743905 174992580 191658540 201241467 223601630 268321956 287487810 335402445 402482934 447203260 574975620 670804890 804965868 1006207335 1341609780 2012414670 4024829340