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2930417424 = 2432111997369
BaseRepresentation
bin1010111010101010…
…1001111100010000
321120020002121222200
42232222221330100
522000141324144
61202441003200
7132422065014
oct25652517420
97506077880
102930417424
111274164a90
12699483500
13379160a0c
141db292544
151223ebc69
hexaeaa9f10

2930417424 has 120 divisors (see below), whose sum is σ = 9417626400. Its totient is φ = 841259520.

The previous prime is 2930417393. The next prime is 2930417473. The reversal of 2930417424 is 4247140392.

2930417424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18589 + ... + 78780.

It is an arithmetic number, because the mean of its divisors is an integer number (78480220).

Almost surely, 22930417424 is an apocalyptic number.

2930417424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2930417424 is an abundant number, since it is smaller than the sum of its proper divisors (6487208976).

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

2930417424 is a wasteful number, since it uses less digits than its factorization.

2930417424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97413 (or 97404 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2930417424 is about 54133.3300656813. The cubic root of 2930417424 is about 1431.0116277273.

The spelling of 2930417424 in words is "two billion, nine hundred thirty million, four hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 33 36 38 44 48 57 66 72 76 88 99 114 132 144 152 171 176 198 209 228 264 304 342 396 418 456 528 627 684 792 836 912 1254 1368 1584 1672 1881 2508 2736 3344 3762 5016 7524 10032 15048 30096 97369 194738 292107 389476 584214 778952 876321 1071059 1168428 1557904 1752642 1850011 2142118 2336856 3213177 3505284 3700022 4284236 4673712 5550033 6426354 7010568 7400044 8568472 9639531 11100066 12852708 14021136 14800088 16650099 17136944 19279062 20350121 22200132 25705416 29600176 33300198 38558124 40700242 44400264 51410832 61050363 66600396 77116248 81400484 88800528 122100726 133200792 154232496 162800968 183151089 244201452 266401584 325601936 366302178 488402904 732604356 976805808 1465208712 2930417424