Search a number
-
+
346730138112 = 293437173939
BaseRepresentation
bin1010000101110101011…
…10100000101000000000
31020010222012221000010010
411002322232200220000
521140100403404422
6423141410104520
734023203355141
oct5027256405000
91203865830103
10346730138112
1112405813a756
125724727b140
132690930c0c7
1412ad349dac8
159044e55b0c
hex50baba0a00

346730138112 has 160 divisors (see below), whose sum is σ = 958517936640. Its totient is φ = 111297392640.

The previous prime is 346730138101. The next prime is 346730138113. The reversal of 346730138112 is 211831037643.

It is not an unprimeable number, because it can be changed into a prime (346730138113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4652439 + ... + 4726377.

It is an arithmetic number, because the mean of its divisors is an integer number (5990737104).

Almost surely, 2346730138112 is an apocalyptic number.

346730138112 is a gapful number since it is divisible by the number (32) 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 346730138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479258968320).

346730138112 is an abundant number, since it is smaller than the sum of its proper divisors (611787798528).

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

346730138112 is an equidigital number, since it uses as much as digits as its factorization.

346730138112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74074 (or 74058 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 346730138112 in words is "three hundred forty-six billion, seven hundred thirty million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 71 86 96 128 129 142 172 192 213 256 258 284 344 384 426 512 516 568 688 768 852 1032 1136 1376 1536 1704 2064 2272 2752 3053 3408 4128 4544 5504 6106 6816 8256 9088 9159 11008 12212 13632 16512 18176 18318 22016 24424 27264 33024 36352 36636 48848 54528 66048 73272 73939 97696 109056 146544 147878 195392 221817 293088 295756 390784 443634 586176 591512 781568 887268 1172352 1183024 1563136 1774536 2344704 2366048 3179377 3549072 4689408 4732096 5249669 6358754 7098144 9464192 9538131 10499338 12717508 14196288 15749007 18928384 19076262 20998676 25435016 28392576 31498014 37856768 38152524 41997352 50870032 56785152 62996028 76305048 83994704 101740064 113570304 125992056 152610096 167989408 203480128 225735767 251984112 305220192 335978816 406960256 451471534 503968224 610440384 671957632 677207301 813920512 902943068 1007936448 1220880768 1343915264 1354414602 1627841024 1805886136 2015872896 2441761536 2687830528 2708829204 3611772272 4031745792 4883523072 5417658408 7223544544 8063491584 10835316816 14447089088 21670633632 28894178176 43341267264 57788356352 86682534528 115576712704 173365069056 346730138112