Search a number
-
+
349546403220 = 223572034740903
BaseRepresentation
bin1010001011000101001…
…01101101010110010100
31020102020111020002120020
411011202211231112110
521211332334400340
6424325052305140
734153041255450
oct5054245552624
91212214202506
10349546403220
11125272917383
12578b24721b0
1326c67912771
1412cbd519660
15915c3049d0
hex516296d594

349546403220 has 96 divisors (see below), whose sum is σ = 1118630811648. Its totient is φ = 79890440832.

The previous prime is 349546403207. The next prime is 349546403249. The reversal of 349546403220 is 22304645943.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 8525289 + ... + 8566191.

It is an arithmetic number, because the mean of its divisors is an integer number (11652404288).

Almost surely, 2349546403220 is an apocalyptic number.

349546403220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349546403220 is an abundant number, since it is smaller than the sum of its proper divisors (769084408428).

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

349546403220 is a wasteful number, since it uses less digits than its factorization.

349546403220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61269 (or 61267 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 349546403220 in words is "three hundred forty-nine billion, five hundred forty-six million, four hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 20347 40694 40903 61041 81388 81806 101735 122082 122709 142429 163612 203470 204515 244164 245418 284858 286321 305205 406940 409030 427287 490836 569716 572642 610410 613545 712145 818060 854574 858963 1145284 1220820 1227090 1424290 1431605 1709148 1717926 2136435 2454180 2848580 2863210 3435852 4272870 4294815 5726420 8545740 8589630 17179260 832253341 1664506682 2496760023 3329013364 4161266705 4993520046 5825773387 8322533410 9987040092 11651546774 12483800115 16645066820 17477320161 23303093548 24967600230 29128866935 34954640322 49935200460 58257733870 69909280644 87386600805 116515467740 174773201610 349546403220