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342693888 = 2113172193
BaseRepresentation
bin10100011011010…
…001100000000000
3212212211122122020
4110123101200000
51200212201023
654001041440
711330564355
oct2433214000
9785748566
10342693888
11166494a99
1296926280
1355cc8864
143372862c
1520143de3
hex146d1800

342693888 has 144 divisors (see below), whose sum is σ = 975560040. Its totient is φ = 106954752.

The previous prime is 342693881. The next prime is 342693893. The reversal of 342693888 is 888396243.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 342693888.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342693881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1775520 + ... + 1775712.

Almost surely, 2342693888 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 342693888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487780020).

342693888 is an abundant number, since it is smaller than the sum of its proper divisors (632866152).

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

342693888 is a wasteful number, since it uses less digits than its factorization.

342693888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 215 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 342693888 is about 18511.9930855648. The cubic root of 342693888 is about 699.7916985654.

The spelling of 342693888 in words is "three hundred forty-two million, six hundred ninety-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 193 204 256 272 289 384 386 408 512 544 578 579 768 772 816 867 1024 1088 1156 1158 1536 1544 1632 1734 2048 2176 2312 2316 3072 3088 3264 3281 3468 4352 4624 4632 6144 6176 6528 6562 6936 8704 9248 9264 9843 12352 13056 13124 13872 17408 18496 18528 19686 24704 26112 26248 27744 34816 36992 37056 39372 49408 52224 52496 55488 55777 73984 74112 78744 98816 104448 104992 110976 111554 147968 148224 157488 167331 197632 209984 221952 223108 295936 296448 314976 334662 395264 419968 443904 446216 591872 592896 629952 669324 839936 887808 892432 1185792 1259904 1338648 1679872 1775616 1784864 2519808 2677296 3359744 3569728 5039616 5354592 6719488 7139456 10079232 10709184 14278912 20158464 21418368 28557824 42836736 57115648 85673472 114231296 171346944 342693888