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3821429040 = 24351113111347
BaseRepresentation
bin1110001111000110…
…0110000100110000
3100212022200201010220
43203301212010300
530311241212130
61431110253040
7163461416352
oct34361460460
910768621126
103821429040
111691108220
128a7957180
1348b92b120
1428374d0d2
15175750410
hexe3c66130

3821429040 has 160 divisors (see below), whose sum is σ = 13917609216. Its totient is φ = 855137280.

The previous prime is 3821429033. The next prime is 3821429057. The reversal of 3821429040 is 409241283.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 3821428992 and 3821429010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21354 + ... + 89993.

Almost surely, 23821429040 is an apocalyptic number.

3821429040 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 3821429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6958804608).

3821429040 is an abundant number, since it is smaller than the sum of its proper divisors (10096180176).

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

3821429040 is a wasteful number, since it uses less digits than its factorization.

3821429040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111387 (or 111381 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3821429040 is about 61817.7081425703. The cubic root of 3821429040 is about 1563.4185714738.

The spelling of 3821429040 in words is "three billion, eight hundred twenty-one million, four hundred twenty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 330 390 429 440 520 528 572 624 660 715 780 858 880 1040 1144 1320 1430 1560 1716 2145 2288 2640 2860 3120 3432 4290 5720 6864 8580 11440 17160 34320 111347 222694 334041 445388 556735 668082 890776 1113470 1224817 1336164 1447511 1670205 1781552 2226940 2449634 2672328 2895022 3340410 3674451 4342533 4453880 4899268 5344656 5790044 6124085 6680820 7237555 7348902 8685066 8907760 9798536 11580088 12248170 13361640 14475110 14697804 15922621 17370132 18372255 19597072 21712665 23160176 24496340 26723280 28950220 29395608 31845242 34740264 36744510 43425330 47767863 48992680 57900440 58791216 63690484 69480528 73489020 79613105 86850660 95535726 97985360 115800880 127380968 146978040 159226210 173701320 191071452 238839315 254761936 293956080 318452420 347402640 382142904 477678630 636904840 764285808 955357260 1273809680 1910714520 3821429040