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3834748344 = 2337171342699
BaseRepresentation
bin1110010010010001…
…1001110110111000
3100220020202101210110
43210210121312320
530323143421334
61432303544320
7164012552220
oct34444316670
910806671713
103834748344
111698685209
128b02bb0a0
1349161277b
14285419080
151769d1ae9
hexe4919db8

3834748344 has 64 divisors (see below), whose sum is σ = 11600928000. Its totient is φ = 1031192064.

The previous prime is 3834748343. The next prime is 3834748349. The reversal of 3834748344 is 4438474383.

3834748344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 3834748293 and 3834748302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3834748343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 668494 + ... + 674205.

It is an arithmetic number, because the mean of its divisors is an integer number (181264500).

Almost surely, 23834748344 is an apocalyptic number.

3834748344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3834748344 is an abundant number, since it is smaller than the sum of its proper divisors (7766179656).

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

3834748344 is a wasteful number, since it uses less digits than its factorization.

3834748344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342732 (or 1342728 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 48.

The square root of 3834748344 is about 61925.3449243523. The cubic root of 3834748344 is about 1565.2328579328.

The spelling of 3834748344 in words is "three billion, eight hundred thirty-four million, seven hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 1342699 2685398 4028097 5370796 8056194 9398893 10741592 16112388 18797786 22825883 28196679 32224776 37595572 45651766 56393358 68477649 75191144 91303532 112786716 136955298 159781181 182607064 225573432 273910596 319562362 479343543 547821192 639124724 958687086 1278249448 1917374172 3834748344