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2343474100 = 2252115936109
BaseRepresentation
bin1000101110101110…
…1001001110110100
320001022122211010001
42023223221032310
514244412132400
61024312441044
7112034126002
oct21353511664
96038584101
102343474100
11aa2914860
125549a9184
132b4687086
14183347a72
15dab0ca6a
hex8bae93b4

2343474100 has 72 divisors (see below), whose sum is σ = 5641826400. Its totient is φ = 837705600.

The previous prime is 2343474061. The next prime is 2343474103. The reversal of 2343474100 is 14743432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2343474103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46846 + ... + 82954.

It is an arithmetic number, because the mean of its divisors is an integer number (78358700).

Almost surely, 22343474100 is an apocalyptic number.

2343474100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2343474100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820913200).

2343474100 is an abundant number, since it is smaller than the sum of its proper divisors (3298352300).

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

2343474100 is a wasteful number, since it uses less digits than its factorization.

2343474100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36193 (or 36186 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 2343474100 is about 48409.4422607821. The cubic root of 2343474100 is about 1328.2710872108.

The spelling of 2343474100 in words is "two billion, three hundred forty-three million, four hundred seventy-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 220 236 275 295 550 590 649 1100 1180 1298 1475 2596 2950 3245 5900 6490 12980 16225 32450 36109 64900 72218 144436 180545 361090 397199 722180 794398 902725 1588796 1805450 1985995 2130431 3610900 3971990 4260862 7943980 8521724 9929975 10652155 19859950 21304310 23434741 39719900 42608620 46869482 53260775 93738964 106521550 117173705 213043100 234347410 468694820 585868525 1171737050 2343474100