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2348628696 = 233431432719
BaseRepresentation
bin1000101111111101…
…0011101011011000
320001200100200220000
42023333103223120
514302222104241
61025015133000
7112126004661
oct21377235330
96050320800
102348628696
11aa5815557
12556674160
132b577032b
14183cca368
15db2c9eb6
hex8bfd3ad8

2348628696 has 160 divisors (see below), whose sum is σ = 6951014400. Its totient is φ = 739730880.

The previous prime is 2348628691. The next prime is 2348628719. The reversal of 2348628696 is 6968268432.

2348628696 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 628 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2348628691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 862425 + ... + 865143.

It is an arithmetic number, because the mean of its divisors is an integer number (43443840).

Almost surely, 22348628696 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 2348628696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475507200).

2348628696 is an abundant number, since it is smaller than the sum of its proper divisors (4602385704).

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

2348628696 is a wasteful number, since it uses less digits than its factorization.

2348628696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2798 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 2348628696 is about 48462.6525893909. The cubic root of 2348628696 is about 1329.2442417060.

The spelling of 2348628696 in words is "two billion, three hundred forty-eight million, six hundred twenty-eight thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 43 54 62 72 81 86 93 108 124 129 162 172 186 216 248 258 279 324 344 372 387 516 558 648 744 774 837 1032 1116 1161 1333 1548 1674 2232 2322 2511 2666 2719 3096 3348 3483 3999 4644 5022 5332 5438 6696 6966 7998 8157 9288 10044 10664 10876 11997 13932 15996 16314 20088 21752 23994 24471 27864 31992 32628 35991 47988 48942 65256 71982 73413 84289 95976 97884 107973 116917 143964 146826 168578 195768 215946 220239 233834 252867 287928 293652 337156 350751 431892 440478 467668 505734 587304 674312 701502 758601 863784 880956 935336 1011468 1052253 1403004 1517202 1761912 2022936 2104506 2275803 2806008 3034404 3156759 3624427 4209012 4551606 6068808 6313518 6827409 7248854 8418024 9103212 9470277 10873281 12627036 13654818 14497708 18206424 18940554 21746562 25254072 27309636 28995416 32619843 37881108 43493124 54619272 65239686 75762216 86986248 97859529 130479372 195719058 260958744 293578587 391438116 587157174 782876232 1174314348 2348628696