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346061134356 = 223729142061221
BaseRepresentation
bin1010000100100101101…
…10011101101000010100
31020002020121002002111020
411002102312131220110
521132213122244411
6422551151041140
734000501051650
oct5022266355024
91202217062436
10346061134356
11123844541293
125709b2101b0
13268308332b2
1412a6c6b3a60
159006357606
hex5092d9da14

346061134356 has 48 divisors (see below), whose sum is σ = 954651411840. Its totient is φ = 95465139840.

The previous prime is 346061134333. The next prime is 346061134361. The reversal of 346061134356 is 653431160643.

It is a super-2 number, since 2×3460611343562 (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71028175 + ... + 71033046.

It is an arithmetic number, because the mean of its divisors is an integer number (19888571080).

Almost surely, 2346061134356 is an apocalyptic number.

It is an amenable number.

346061134356 is an abundant number, since it is smaller than the sum of its proper divisors (608590277484).

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

346061134356 is a wasteful number, since it uses less digits than its factorization.

346061134356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142061264 (or 142061262 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

Adding to 346061134356 its reverse (653431160643), we get a palindrome (999492294999).

The spelling of 346061134356 in words is "three hundred forty-six billion, sixty-one million, one hundred thirty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 84 87 116 174 203 348 406 609 812 1218 2436 142061221 284122442 426183663 568244884 852367326 994428547 1704734652 1988857094 2983285641 3977714188 4119775409 5966571282 8239550818 11933142564 12359326227 16479101636 24718652454 28838427863 49437304908 57676855726 86515283589 115353711452 173030567178 346061134356