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349325088 = 2537836263
BaseRepresentation
bin10100110100100…
…100011100100000
3220100022112221020
4110310210130200
51203411400323
654355125440
711441133330
oct2464443440
9810275836
10349325088
1116a204122
1298ba3880
13574aac48
14345730c0
1520a03ae3
hex14d24720

349325088 has 96 divisors (see below), whose sum is σ = 1060770816. Its totient is φ = 98588928.

The previous prime is 349325063. The next prime is 349325107. The reversal of 349325088 is 880523943.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52645 + ... + 58907.

It is an arithmetic number, because the mean of its divisors is an integer number (11049696).

Almost surely, 2349325088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349325088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530385408).

349325088 is an abundant number, since it is smaller than the sum of its proper divisors (711445728).

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

349325088 is a wasteful number, since it uses less digits than its factorization.

349325088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366 (or 6358 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 349325088 is about 18690.2404478915. The cubic root of 349325088 is about 704.2766001600.

The spelling of 349325088 in words is "three hundred forty-nine million, three hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 83 84 96 112 166 168 224 249 332 336 498 581 664 672 996 1162 1328 1743 1992 2324 2656 3486 3984 4648 6263 6972 7968 9296 12526 13944 18592 18789 25052 27888 37578 43841 50104 55776 75156 87682 100208 131523 150312 175364 200416 263046 300624 350728 519829 526092 601248 701456 1039658 1052184 1402912 1559487 2079316 2104368 3118974 3638803 4158632 4208736 6237948 7277606 8317264 10916409 12475896 14555212 16634528 21832818 24951792 29110424 43665636 49903584 58220848 87331272 116441696 174662544 349325088