Search a number
-
+
34453277040 = 24357131577531
BaseRepresentation
bin100000000101100100…
…110100100101110000
310021221002220211000210
4200011210310211300
51031030014331130
623454433144120
72326533010560
oct400544644560
9107832824023
1034453277040
111367aa81a86
1268163bb040
133330b8cc80
14194ba70da0
15d69a885b0
hex805934970

34453277040 has 160 divisors (see below), whose sum is σ = 131452586496. Its totient is φ = 7269258240.

The previous prime is 34453277039. The next prime is 34453277059. The reversal of 34453277040 is 4077235443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34453277040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766926 + ... + 810605.

Almost surely, 234453277040 is an apocalyptic number.

34453277040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34453277040 is an abundant number, since it is smaller than the sum of its proper divisors (96999309456).

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

34453277040 is a wasteful number, since it uses less digits than its factorization.

34453277040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577567 (or 1577561 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 39.

The spelling of 34453277040 in words is "thirty-four billion, four hundred fifty-three million, two hundred seventy-seven thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3640 4368 5460 7280 10920 21840 1577531 3155062 4732593 6310124 7887655 9465186 11042717 12620248 15775310 18930372 20507903 22085434 23662965 25240496 31550620 33128151 37860744 41015806 44170868 47325930 55213585 61523709 63101240 66256302 75721488 82031612 88341736 94651860 102539515 110427170 123047418 126202480 132512604 143555321 164063224 165640755 176683472 189303720 205079030 220854340 246094836 265025208 287110642 307618545 328126448 331281510 378607440 410158060 430665963 441708680 492189672 530050416 574221284 615237090 662563020 717776605 820316120 861331926 883417360 984379344 1148442568 1230474180 1325126040 1435553210 1640632240 1722663852 2153329815 2296885136 2460948360 2650252080 2871106420 3445327704 4306659630 4921896720 5742212840 6890655408 8613319260 11484425680 17226638520 34453277040