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34314304352 = 2518139714923
BaseRepresentation
bin11111111101010010…
…101011101101100000
310021120102102021100012
4133331102223231200
51030233430214402
623432550344052
72323224526436
oct377522535540
9107512367305
1034314304352
1113609591819
12679795b028
13330b152403
141937416d56
15d5c786452
hex7fd4abb60

34314304352 has 48 divisors (see below), whose sum is σ = 68105196432. Its totient is φ = 17018242560.

The previous prime is 34314304351. The next prime is 34314304391. The reversal of 34314304352 is 25340341343.

It is a super-2 number, since 2×343143043522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34314304351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2291963 + ... + 2306885.

It is an arithmetic number, because the mean of its divisors is an integer number (1418858259).

Almost surely, 234314304352 is an apocalyptic number.

34314304352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34314304352 is a deficient number, since it is larger than the sum of its proper divisors (33790892080).

34314304352 is a wasteful number, since it uses less digits than its factorization.

34314304352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15511 (or 15503 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 34314304352 its reverse (25340341343), we get a palindrome (59654645695).

The spelling of 34314304352 in words is "thirty-four billion, three hundred fourteen million, three hundred four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 32 181 362 397 724 794 1448 1588 2896 3176 5792 6352 12704 14923 29846 59692 71857 119384 143714 238768 287428 477536 574856 1149712 2299424 2701063 5402126 5924431 10804252 11848862 21608504 23697724 43217008 47395448 86434016 94790896 189581792 1072322011 2144644022 4289288044 8578576088 17157152176 34314304352